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Finding the Fourth Proportional to 132,293.28, 198,472.32 and 65,764.74

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Solution

The fourth proportional to 132,293.28, 198,472.32 and 65,764.74 is: 98,663.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,293.28 : 198,472.32 = 65,764.74 : x
  2. Step 2: Convert to fraction form
    132,293.28/198,472.32 = 65,764.74/x
  3. Step 3: Cross multiply
    132,293.28x = 198,472.32 × 65,764.74
  4. Step 4: Simplify right side
    132,293.28x = 13,052,480,522.00
  5. Step 5: Solve for x
    x = 13,052,480,522.00/132,293.28
  6. Step 6: Final answer
    x = 98,663.22

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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.