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Finding the Fourth Proportional to 132,585.54, 198,615.87 and 115,964.34

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Solution

The fourth proportional to 132,585.54, 198,615.87 and 115,964.34 is: 173,716.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,585.54 : 198,615.87 = 115,964.34 : x
  2. Step 2: Convert to fraction form
    132,585.54/198,615.87 = 115,964.34/x
  3. Step 3: Cross multiply
    132,585.54x = 198,615.87 × 115,964.34
  4. Step 4: Simplify right side
    132,585.54x = 23,032,359,064.53
  5. Step 5: Solve for x
    x = 23,032,359,064.53/132,585.54
  6. Step 6: Final answer
    x = 173,716.97

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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.