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Finding the Fourth Proportional to 132,011.40, 198,046.26 and 65,487.72

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Solution

The fourth proportional to 132,011.40, 198,046.26 and 65,487.72 is: 98,246.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,011.40 : 198,046.26 = 65,487.72 : x
  2. Step 2: Convert to fraction form
    132,011.40/198,046.26 = 65,487.72/x
  3. Step 3: Cross multiply
    132,011.40x = 198,046.26 × 65,487.72
  4. Step 4: Simplify right side
    132,011.40x = 12,969,598,021.93
  5. Step 5: Solve for x
    x = 12,969,598,021.93/132,011.40
  6. Step 6: Final answer
    x = 98,246.05

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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.