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Finding the Fourth Proportional to 132,221.50, 198,290.16 and 43,454.50

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Solution

The fourth proportional to 132,221.50, 198,290.16 and 43,454.50 is: 65,167.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,221.50 : 198,290.16 = 43,454.50 : x
  2. Step 2: Convert to fraction form
    132,221.50/198,290.16 = 43,454.50/x
  3. Step 3: Cross multiply
    132,221.50x = 198,290.16 × 43,454.50
  4. Step 4: Simplify right side
    132,221.50x = 8,616,599,261.99
  5. Step 5: Solve for x
    x = 8,616,599,261.99/132,221.50
  6. Step 6: Final answer
    x = 65,167.91

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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.