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Finding the Fourth Proportional to 162,538.34, 224,441.34 and 102,209.90

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Solution

The fourth proportional to 162,538.34, 224,441.34 and 102,209.90 is: 141,136.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    162,538.34 : 224,441.34 = 102,209.90 : x
  2. Step 2: Convert to fraction form
    162,538.34/224,441.34 = 102,209.90/x
  3. Step 3: Cross multiply
    162,538.34x = 224,441.34 × 102,209.90
  4. Step 4: Simplify right side
    162,538.34x = 22,940,126,917.27
  5. Step 5: Solve for x
    x = 22,940,126,917.27/162,538.34
  6. Step 6: Final answer
    x = 141,136.71

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