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Finding the Fourth Proportional to 534,204.80, 801,304.14 and 134,843.93

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Solution

The fourth proportional to 534,204.80, 801,304.14 and 134,843.93 is: 202,265.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    534,204.80 : 801,304.14 = 134,843.93 : x
  2. Step 2: Convert to fraction form
    534,204.80/801,304.14 = 134,843.93/x
  3. Step 3: Cross multiply
    534,204.80x = 801,304.14 × 134,843.93
  4. Step 4: Simplify right side
    534,204.80x = 108,050,999,362.87
  5. Step 5: Solve for x
    x = 108,050,999,362.87/534,204.80
  6. Step 6: Final answer
    x = 202,265.12

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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.