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Finding the Fourth Proportional to 534,772.61, 802,160.76 and 135,413.21

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Solution

The fourth proportional to 534,772.61, 802,160.76 and 135,413.21 is: 203,120.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    534,772.61 : 802,160.76 = 135,413.21 : x
  2. Step 2: Convert to fraction form
    534,772.61/802,160.76 = 135,413.21/x
  3. Step 3: Cross multiply
    534,772.61x = 802,160.76 × 135,413.21
  4. Step 4: Simplify right side
    534,772.61x = 108,623,163,447.64
  5. Step 5: Solve for x
    x = 108,623,163,447.64/534,772.61
  6. Step 6: Final answer
    x = 203,120.28

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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.