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Finding the Fourth Proportional to 149,672.30, 224,767.65 and 145,006.70

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Solution

The fourth proportional to 149,672.30, 224,767.65 and 145,006.70 is: 217,761.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,672.30 : 224,767.65 = 145,006.70 : x
  2. Step 2: Convert to fraction form
    149,672.30/224,767.65 = 145,006.70/x
  3. Step 3: Cross multiply
    149,672.30x = 224,767.65 × 145,006.70
  4. Step 4: Simplify right side
    149,672.30x = 32,592,815,193.26
  5. Step 5: Solve for x
    x = 32,592,815,193.26/149,672.30
  6. Step 6: Final answer
    x = 217,761.17

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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.