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Finding the Fourth Proportional to 234,209.39, 351,098.80 and 84,413.01

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Solution

The fourth proportional to 234,209.39, 351,098.80 and 84,413.01 is: 126,541.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    234,209.39 : 351,098.80 = 84,413.01 : x
  2. Step 2: Convert to fraction form
    234,209.39/351,098.80 = 84,413.01/x
  3. Step 3: Cross multiply
    234,209.39x = 351,098.80 × 84,413.01
  4. Step 4: Simplify right side
    234,209.39x = 29,637,306,304.36
  5. Step 5: Solve for x
    x = 29,637,306,304.36/234,209.39
  6. Step 6: Final answer
    x = 126,541.92

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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.