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Finding the Fourth Proportional to 159,894,538.80, 239,841,808.20 and 148,415,413.20

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Solution

The fourth proportional to 159,894,538.80, 239,841,808.20 and 148,415,413.20 is: 222,623,119.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,894,538.80 : 239,841,808.20 = 148,415,413.20 : x
  2. Step 2: Convert to fraction form
    159,894,538.80/239,841,808.20 = 148,415,413.20/x
  3. Step 3: Cross multiply
    159,894,538.80x = 239,841,808.20 × 148,415,413.20
  4. Step 4: Simplify right side
    159,894,538.80x = 35,596,221,066,638,144
  5. Step 5: Solve for x
    x = 35,596,221,066,638,144/159,894,538.80
  6. Step 6: Final answer
    x = 222,623,119.80

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.