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Finding the Fourth Proportional to 156,682.70, 235,024.05 and 97,487.90

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Solution

The fourth proportional to 156,682.70, 235,024.05 and 97,487.90 is: 146,231.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,682.70 : 235,024.05 = 97,487.90 : x
  2. Step 2: Convert to fraction form
    156,682.70/235,024.05 = 97,487.90/x
  3. Step 3: Cross multiply
    156,682.70x = 235,024.05 × 97,487.90
  4. Step 4: Simplify right side
    156,682.70x = 22,912,001,084.00
  5. Step 5: Solve for x
    x = 22,912,001,084.00/156,682.70
  6. Step 6: Final answer
    x = 146,231.85

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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.