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Finding the Fourth Proportional to 176,002.70, 263,744.85 and 149,564.30

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Solution

The fourth proportional to 176,002.70, 263,744.85 and 149,564.30 is: 224,126.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,002.70 : 263,744.85 = 149,564.30 : x
  2. Step 2: Convert to fraction form
    176,002.70/263,744.85 = 149,564.30/x
  3. Step 3: Cross multiply
    176,002.70x = 263,744.85 × 149,564.30
  4. Step 4: Simplify right side
    176,002.70x = 39,446,813,868.86
  5. Step 5: Solve for x
    x = 39,446,813,868.86/176,002.70
  6. Step 6: Final answer
    x = 224,126.19

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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.