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Finding the Fourth Proportional to 230,711.70, 346,035.15 and 72,956.10

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Solution

The fourth proportional to 230,711.70, 346,035.15 and 72,956.10 is: 109,423.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,711.70 : 346,035.15 = 72,956.10 : x
  2. Step 2: Convert to fraction form
    230,711.70/346,035.15 = 72,956.10/x
  3. Step 3: Cross multiply
    230,711.70x = 346,035.15 × 72,956.10
  4. Step 4: Simplify right side
    230,711.70x = 25,245,375,006.92
  5. Step 5: Solve for x
    x = 25,245,375,006.92/230,711.70
  6. Step 6: Final answer
    x = 109,423.90

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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.