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Finding the Fourth Proportional to 101,432.66, 152,162.82 and 42,254.48

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Solution

The fourth proportional to 101,432.66, 152,162.82 and 42,254.48 is: 63,387.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,432.66 : 152,162.82 = 42,254.48 : x
  2. Step 2: Convert to fraction form
    101,432.66/152,162.82 = 42,254.48/x
  3. Step 3: Cross multiply
    101,432.66x = 152,162.82 × 42,254.48
  4. Step 4: Simplify right side
    101,432.66x = 6,429,560,073.62
  5. Step 5: Solve for x
    x = 6,429,560,073.62/101,432.66
  6. Step 6: Final answer
    x = 63,387.48

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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.