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Finding the Fourth Proportional to 132,191.76, 198,112.64 and 96,966.48

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Solution

The fourth proportional to 132,191.76, 198,112.64 and 96,966.48 is: 145,321.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,191.76 : 198,112.64 = 96,966.48 : x
  2. Step 2: Convert to fraction form
    132,191.76/198,112.64 = 96,966.48/x
  3. Step 3: Cross multiply
    132,191.76x = 198,112.64 × 96,966.48
  4. Step 4: Simplify right side
    132,191.76x = 19,210,285,344.31
  5. Step 5: Solve for x
    x = 19,210,285,344.31/132,191.76
  6. Step 6: Final answer
    x = 145,321.35

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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.