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Finding the Fourth Proportional to 162,861, 224,761.20 and 95,805.96

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Solution

The fourth proportional to 162,861, 224,761.20 and 95,805.96 is: 132,219.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    162,861 : 224,761.20 = 95,805.96 : x
  2. Step 2: Convert to fraction form
    162,861/224,761.20 = 95,805.96/x
  3. Step 3: Cross multiply
    162,861x = 224,761.20 × 95,805.96
  4. Step 4: Simplify right side
    162,861x = 21,533,462,536.75
  5. Step 5: Solve for x
    x = 21,533,462,536.75/162,861
  6. Step 6: Final answer
    x = 132,219.88

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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.