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Finding the Fourth Proportional to 151,248.40, 226,894.20 and 51,413.20

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Solution

The fourth proportional to 151,248.40, 226,894.20 and 51,413.20 is: 77,127.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,248.40 : 226,894.20 = 51,413.20 : x
  2. Step 2: Convert to fraction form
    151,248.40/226,894.20 = 51,413.20/x
  3. Step 3: Cross multiply
    151,248.40x = 226,894.20 × 51,413.20
  4. Step 4: Simplify right side
    151,248.40x = 11,665,356,883.44
  5. Step 5: Solve for x
    x = 11,665,356,883.44/151,248.40
  6. Step 6: Final answer
    x = 77,127.14

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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.