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Finding the Fourth Proportional to 150,002.70, 224,744.85 and 123,564.30

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Solution

The fourth proportional to 150,002.70, 224,744.85 and 123,564.30 is: 185,132.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,002.70 : 224,744.85 = 123,564.30 : x
  2. Step 2: Convert to fraction form
    150,002.70/224,744.85 = 123,564.30/x
  3. Step 3: Cross multiply
    150,002.70x = 224,744.85 × 123,564.30
  4. Step 4: Simplify right side
    150,002.70x = 27,770,440,068.86
  5. Step 5: Solve for x
    x = 27,770,440,068.86/150,002.70
  6. Step 6: Final answer
    x = 185,132.93

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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.