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Finding the Fourth Proportional to 502,148.66, 753,139.85 and 165,193.52

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Solution

The fourth proportional to 502,148.66, 753,139.85 and 165,193.52 is: 247,762.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    502,148.66 : 753,139.85 = 165,193.52 : x
  2. Step 2: Convert to fraction form
    502,148.66/753,139.85 = 165,193.52/x
  3. Step 3: Cross multiply
    502,148.66x = 753,139.85 × 165,193.52
  4. Step 4: Simplify right side
    502,148.66x = 124,413,818,282.11
  5. Step 5: Solve for x
    x = 124,413,818,282.11/502,148.66
  6. Step 6: Final answer
    x = 247,762.92

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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.