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Finding the Fourth Proportional to 156,735.70, 235,103.55 and 97,540.90

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Solution

The fourth proportional to 156,735.70, 235,103.55 and 97,540.90 is: 146,311.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,735.70 : 235,103.55 = 97,540.90 : x
  2. Step 2: Convert to fraction form
    156,735.70/235,103.55 = 97,540.90/x
  3. Step 3: Cross multiply
    156,735.70x = 235,103.55 × 97,540.90
  4. Step 4: Simplify right side
    156,735.70x = 22,932,211,860.20
  5. Step 5: Solve for x
    x = 22,932,211,860.20/156,735.70
  6. Step 6: Final answer
    x = 146,311.35

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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.