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Finding the Fourth Proportional to 162,001.80, 243,002.70 and 149,207.85

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Solution

The fourth proportional to 162,001.80, 243,002.70 and 149,207.85 is: 223,811.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    162,001.80 : 243,002.70 = 149,207.85 : x
  2. Step 2: Convert to fraction form
    162,001.80/243,002.70 = 149,207.85/x
  3. Step 3: Cross multiply
    162,001.80x = 243,002.70 × 149,207.85
  4. Step 4: Simplify right side
    162,001.80x = 36,257,910,411.20
  5. Step 5: Solve for x
    x = 36,257,910,411.20/162,001.80
  6. Step 6: Final answer
    x = 223,811.78

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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.