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Finding the Fourth Proportional to 178,463.70, 267,169.59 and 156,320.33

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Solution

The fourth proportional to 178,463.70, 267,169.59 and 156,320.33 is: 234,019.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,463.70 : 267,169.59 = 156,320.33 : x
  2. Step 2: Convert to fraction form
    178,463.70/267,169.59 = 156,320.33/x
  3. Step 3: Cross multiply
    178,463.70x = 267,169.59 × 156,320.33
  4. Step 4: Simplify right side
    178,463.70x = 41,764,037,138.92
  5. Step 5: Solve for x
    x = 41,764,037,138.92/178,463.70
  6. Step 6: Final answer
    x = 234,019.79

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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.