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Finding the Fourth Proportional to 149,311.20, 224,053.20 and 55,826.40

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Solution

The fourth proportional to 149,311.20, 224,053.20 and 55,826.40 is: 83,771.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,311.20 : 224,053.20 = 55,826.40 : x
  2. Step 2: Convert to fraction form
    149,311.20/224,053.20 = 55,826.40/x
  3. Step 3: Cross multiply
    149,311.20x = 224,053.20 × 55,826.40
  4. Step 4: Simplify right side
    149,311.20x = 12,508,083,564.48
  5. Step 5: Solve for x
    x = 12,508,083,564.48/149,311.20
  6. Step 6: Final answer
    x = 83,771.90

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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.