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Finding the Fourth Proportional to 516,807.88, 775,217.82 and 137,726.44

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Solution

The fourth proportional to 516,807.88, 775,217.82 and 137,726.44 is: 206,591.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    516,807.88 : 775,217.82 = 137,726.44 : x
  2. Step 2: Convert to fraction form
    516,807.88/775,217.82 = 137,726.44/x
  3. Step 3: Cross multiply
    516,807.88x = 775,217.82 × 137,726.44
  4. Step 4: Simplify right side
    516,807.88x = 106,767,990,573.16
  5. Step 5: Solve for x
    x = 106,767,990,573.16/516,807.88
  6. Step 6: Final answer
    x = 206,591.26

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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.