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Finding the Fourth Proportional to 516,922.75, 775,421.13 and 137,841.49

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Solution

The fourth proportional to 516,922.75, 775,421.13 and 137,841.49 is: 206,772.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    516,922.75 : 775,421.13 = 137,841.49 : x
  2. Step 2: Convert to fraction form
    516,922.75/775,421.13 = 137,841.49/x
  3. Step 3: Cross multiply
    516,922.75x = 775,421.13 × 137,841.49
  4. Step 4: Simplify right side
    516,922.75x = 106,885,203,936.68
  5. Step 5: Solve for x
    x = 106,885,203,936.68/516,922.75
  6. Step 6: Final answer
    x = 206,772.10

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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.