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Finding the Fourth Proportional to 132,324.82, 198,742.54 and 113,392.38

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Solution

The fourth proportional to 132,324.82, 198,742.54 and 113,392.38 is: 170,307.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,324.82 : 198,742.54 = 113,392.38 : x
  2. Step 2: Convert to fraction form
    132,324.82/198,742.54 = 113,392.38/x
  3. Step 3: Cross multiply
    132,324.82x = 198,742.54 × 113,392.38
  4. Step 4: Simplify right side
    132,324.82x = 22,535,889,617.85
  5. Step 5: Solve for x
    x = 22,535,889,617.85/132,324.82
  6. Step 6: Final answer
    x = 170,307.35

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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.