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Finding the Fourth Proportional to 224,593.80, 309,865.05 and 148,150.86

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Solution

The fourth proportional to 224,593.80, 309,865.05 and 148,150.86 is: 204,399.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,593.80 : 309,865.05 = 148,150.86 : x
  2. Step 2: Convert to fraction form
    224,593.80/309,865.05 = 148,150.86/x
  3. Step 3: Cross multiply
    224,593.80x = 309,865.05 × 148,150.86
  4. Step 4: Simplify right side
    224,593.80x = 45,906,773,641.44
  5. Step 5: Solve for x
    x = 45,906,773,641.44/224,593.80
  6. Step 6: Final answer
    x = 204,399.11

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.