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Finding the Fourth Proportional to 502,172.83, 753,265.37 and 147,193.98

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Solution

The fourth proportional to 502,172.83, 753,265.37 and 147,193.98 is: 220,792.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    502,172.83 : 753,265.37 = 147,193.98 : x
  2. Step 2: Convert to fraction form
    502,172.83/753,265.37 = 147,193.98/x
  3. Step 3: Cross multiply
    502,172.83x = 753,265.37 × 147,193.98
  4. Step 4: Simplify right side
    502,172.83x = 110,876,125,349.71
  5. Step 5: Solve for x
    x = 110,876,125,349.71/502,172.83
  6. Step 6: Final answer
    x = 220,792.76

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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.