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Finding the Fourth Proportional to 123,566.46, 185,138.13 and 67,445.97

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Solution

The fourth proportional to 123,566.46, 185,138.13 and 67,445.97 is: 101,053.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,566.46 : 185,138.13 = 67,445.97 : x
  2. Step 2: Convert to fraction form
    123,566.46/185,138.13 = 67,445.97/x
  3. Step 3: Cross multiply
    123,566.46x = 185,138.13 × 67,445.97
  4. Step 4: Simplify right side
    123,566.46x = 12,486,820,761.84
  5. Step 5: Solve for x
    x = 12,486,820,761.84/123,566.46
  6. Step 6: Final answer
    x = 101,053.48

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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.