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Finding the Fourth Proportional to 232,882.70, 349,324.05 and 162,023.90

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Solution

The fourth proportional to 232,882.70, 349,324.05 and 162,023.90 is: 243,035.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,882.70 : 349,324.05 = 162,023.90 : x
  2. Step 2: Convert to fraction form
    232,882.70/349,324.05 = 162,023.90/x
  3. Step 3: Cross multiply
    232,882.70x = 349,324.05 × 162,023.90
  4. Step 4: Simplify right side
    232,882.70x = 56,598,844,944.80
  5. Step 5: Solve for x
    x = 56,598,844,944.80/232,882.70
  6. Step 6: Final answer
    x = 243,035.85

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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.