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Finding the Fourth Proportional to 132,194.70, 198,324.86 and 61,992

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Solution

The fourth proportional to 132,194.70, 198,324.86 and 61,992 is: 93,003.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,194.70 : 198,324.86 = 61,992 : x
  2. Step 2: Convert to fraction form
    132,194.70/198,324.86 = 61,992/x
  3. Step 3: Cross multiply
    132,194.70x = 198,324.86 × 61,992
  4. Step 4: Simplify right side
    132,194.70x = 12,294,554,411.16
  5. Step 5: Solve for x
    x = 12,294,554,411.16/132,194.70
  6. Step 6: Final answer
    x = 93,003.38

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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.