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Finding the Fourth Proportional to 132,645.88, 198,843.74 and 66,023.02

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Solution

The fourth proportional to 132,645.88, 198,843.74 and 66,023.02 is: 98,972.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,645.88 : 198,843.74 = 66,023.02 : x
  2. Step 2: Convert to fraction form
    132,645.88/198,843.74 = 66,023.02/x
  3. Step 3: Cross multiply
    132,645.88x = 198,843.74 × 66,023.02
  4. Step 4: Simplify right side
    132,645.88x = 13,128,263,892.78
  5. Step 5: Solve for x
    x = 13,128,263,892.78/132,645.88
  6. Step 6: Final answer
    x = 98,972.27

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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.