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Finding the Fourth Proportional to 284,801.22, 427,246.11 and 95,202.90

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Solution

The fourth proportional to 284,801.22, 427,246.11 and 95,202.90 is: 142,819.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,801.22 : 427,246.11 = 95,202.90 : x
  2. Step 2: Convert to fraction form
    284,801.22/427,246.11 = 95,202.90/x
  3. Step 3: Cross multiply
    284,801.22x = 427,246.11 × 95,202.90
  4. Step 4: Simplify right side
    284,801.22x = 40,675,068,685.72
  5. Step 5: Solve for x
    x = 40,675,068,685.72/284,801.22
  6. Step 6: Final answer
    x = 142,819.15

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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.