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Finding the Fourth Proportional to 149,849.84, 224,700.40 and 55,076.20

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Solution

The fourth proportional to 149,849.84, 224,700.40 and 55,076.20 is: 82,586.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,849.84 : 224,700.40 = 55,076.20 : x
  2. Step 2: Convert to fraction form
    149,849.84/224,700.40 = 55,076.20/x
  3. Step 3: Cross multiply
    149,849.84x = 224,700.40 × 55,076.20
  4. Step 4: Simplify right side
    149,849.84x = 12,375,644,170.48
  5. Step 5: Solve for x
    x = 12,375,644,170.48/149,849.84
  6. Step 6: Final answer
    x = 82,586.97

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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.