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Finding the Fourth Proportional to 162,651.59, 224,432.42 and 102,179.41

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Solution

The fourth proportional to 162,651.59, 224,432.42 and 102,179.41 is: 140,990.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    162,651.59 : 224,432.42 = 102,179.41 : x
  2. Step 2: Convert to fraction form
    162,651.59/224,432.42 = 102,179.41/x
  3. Step 3: Cross multiply
    162,651.59x = 224,432.42 × 102,179.41
  4. Step 4: Simplify right side
    162,651.59x = 22,932,371,188.49
  5. Step 5: Solve for x
    x = 22,932,371,188.49/162,651.59
  6. Step 6: Final answer
    x = 140,990.76

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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.