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Finding the Fourth Proportional to 150,042.11, 224,946.31 and 75,123.65

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Solution

The fourth proportional to 150,042.11, 224,946.31 and 75,123.65 is: 112,626.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,042.11 : 224,946.31 = 75,123.65 : x
  2. Step 2: Convert to fraction form
    150,042.11/224,946.31 = 75,123.65/x
  3. Step 3: Cross multiply
    150,042.11x = 224,946.31 × 75,123.65
  4. Step 4: Simplify right side
    150,042.11x = 16,898,787,861.23
  5. Step 5: Solve for x
    x = 16,898,787,861.23/150,042.11
  6. Step 6: Final answer
    x = 112,626.97

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1.5x scale

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.