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Finding the Fourth Proportional to 132,189.69, 198,284.54 and 38,695.44

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Solution

The fourth proportional to 132,189.69, 198,284.54 and 38,695.44 is: 58,043.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,189.69 : 198,284.54 = 38,695.44 : x
  2. Step 2: Convert to fraction form
    132,189.69/198,284.54 = 38,695.44/x
  3. Step 3: Cross multiply
    132,189.69x = 198,284.54 × 38,695.44
  4. Step 4: Simplify right side
    132,189.69x = 7,672,707,520.50
  5. Step 5: Solve for x
    x = 7,672,707,520.50/132,189.69
  6. Step 6: Final answer
    x = 58,043.16

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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.