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Finding the Fourth Proportional to 132,506.61, 198,823.67 and 65,952.55

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Solution

The fourth proportional to 132,506.61, 198,823.67 and 65,952.55 is: 98,960.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,506.61 : 198,823.67 = 65,952.55 : x
  2. Step 2: Convert to fraction form
    132,506.61/198,823.67 = 65,952.55/x
  3. Step 3: Cross multiply
    132,506.61x = 198,823.67 × 65,952.55
  4. Step 4: Simplify right side
    132,506.61x = 13,112,928,036.86
  5. Step 5: Solve for x
    x = 13,112,928,036.86/132,506.61
  6. Step 6: Final answer
    x = 98,960.56

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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.