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Finding the Fourth Proportional to 149,862.11, 224,881.80 and 55,158.80

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Solution

The fourth proportional to 149,862.11, 224,881.80 and 55,158.80 is: 82,770.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,862.11 : 224,881.80 = 55,158.80 : x
  2. Step 2: Convert to fraction form
    149,862.11/224,881.80 = 55,158.80/x
  3. Step 3: Cross multiply
    149,862.11x = 224,881.80 × 55,158.80
  4. Step 4: Simplify right side
    149,862.11x = 12,404,209,105.43
  5. Step 5: Solve for x
    x = 12,404,209,105.43/149,862.11
  6. Step 6: Final answer
    x = 82,770.82

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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.