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Finding the Fourth Proportional to 194,413.60, 290,842.80 and 168,407.20

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Solution

The fourth proportional to 194,413.60, 290,842.80 and 168,407.20 is: 251,937.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,413.60 : 290,842.80 = 168,407.20 : x
  2. Step 2: Convert to fraction form
    194,413.60/290,842.80 = 168,407.20/x
  3. Step 3: Cross multiply
    194,413.60x = 290,842.80 × 168,407.20
  4. Step 4: Simplify right side
    194,413.60x = 48,980,021,588.16
  5. Step 5: Solve for x
    x = 48,980,021,588.16/194,413.60
  6. Step 6: Final answer
    x = 251,937.22

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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.