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Finding the Fourth Proportional to 150,002.70, 224,744.85 and 97,385.10

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Solution

The fourth proportional to 150,002.70, 224,744.85 and 97,385.10 is: 145,909.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,002.70 : 224,744.85 = 97,385.10 : x
  2. Step 2: Convert to fraction form
    150,002.70/224,744.85 = 97,385.10/x
  3. Step 3: Cross multiply
    150,002.70x = 224,744.85 × 97,385.10
  4. Step 4: Simplify right side
    150,002.70x = 21,886,799,691.74
  5. Step 5: Solve for x
    x = 21,886,799,691.74/150,002.70
  6. Step 6: Final answer
    x = 145,909.37

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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.