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Finding the Fourth Proportional to 149,725.80, 224,588.70 and 96,581.70

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Solution

The fourth proportional to 149,725.80, 224,588.70 and 96,581.70 is: 144,872.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,725.80 : 224,588.70 = 96,581.70 : x
  2. Step 2: Convert to fraction form
    149,725.80/224,588.70 = 96,581.70/x
  3. Step 3: Cross multiply
    149,725.80x = 224,588.70 × 96,581.70
  4. Step 4: Simplify right side
    149,725.80x = 21,691,158,446.79
  5. Step 5: Solve for x
    x = 21,691,158,446.79/149,725.80
  6. Step 6: Final answer
    x = 144,872.55

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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.