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Finding the Fourth Proportional to 502,127.98, 753,198.18 and 147,149.26

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Solution

The fourth proportional to 502,127.98, 753,198.18 and 147,149.26 is: 220,725.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    502,127.98 : 753,198.18 = 147,149.26 : x
  2. Step 2: Convert to fraction form
    502,127.98/753,198.18 = 147,149.26/x
  3. Step 3: Cross multiply
    502,127.98x = 753,198.18 × 147,149.26
  4. Step 4: Simplify right side
    502,127.98x = 110,832,554,820.35
  5. Step 5: Solve for x
    x = 110,832,554,820.35/502,127.98
  6. Step 6: Final answer
    x = 220,725.71

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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.