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Finding the Fourth Proportional to 156,958.60, 235,049.10 and 100,712.20

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Solution

The fourth proportional to 156,958.60, 235,049.10 and 100,712.20 is: 150,818.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,958.60 : 235,049.10 = 100,712.20 : x
  2. Step 2: Convert to fraction form
    156,958.60/235,049.10 = 100,712.20/x
  3. Step 3: Cross multiply
    156,958.60x = 235,049.10 × 100,712.20
  4. Step 4: Simplify right side
    156,958.60x = 23,672,311,969.02
  5. Step 5: Solve for x
    x = 23,672,311,969.02/156,958.60
  6. Step 6: Final answer
    x = 150,818.83

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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.