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Finding the Fourth Proportional to 150,020.64, 224,935.92 and 75,120.48

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Solution

The fourth proportional to 150,020.64, 224,935.92 and 75,120.48 is: 112,633.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,020.64 : 224,935.92 = 75,120.48 : x
  2. Step 2: Convert to fraction form
    150,020.64/224,935.92 = 75,120.48/x
  3. Step 3: Cross multiply
    150,020.64x = 224,935.92 × 75,120.48
  4. Step 4: Simplify right side
    150,020.64x = 16,897,294,279.64
  5. Step 5: Solve for x
    x = 16,897,294,279.64/150,020.64
  6. Step 6: Final answer
    x = 112,633.13

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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.