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Finding the Fourth Proportional to 101,596.86, 140,272.17 and 63,414.57

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Solution

The fourth proportional to 101,596.86, 140,272.17 and 63,414.57 is: 87,554.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,596.86 : 140,272.17 = 63,414.57 : x
  2. Step 2: Convert to fraction form
    101,596.86/140,272.17 = 63,414.57/x
  3. Step 3: Cross multiply
    101,596.86x = 140,272.17 × 63,414.57
  4. Step 4: Simplify right side
    101,596.86x = 8,895,299,343.52
  5. Step 5: Solve for x
    x = 8,895,299,343.52/101,596.86
  6. Step 6: Final answer
    x = 87,554.86

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.