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Finding the Fourth Proportional to 132,118, 198,197.64 and 43,351.31

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Solution

The fourth proportional to 132,118, 198,197.64 and 43,351.31 is: 65,033.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,118 : 198,197.64 = 43,351.31 : x
  2. Step 2: Convert to fraction form
    132,118/198,197.64 = 43,351.31/x
  3. Step 3: Cross multiply
    132,118x = 198,197.64 × 43,351.31
  4. Step 4: Simplify right side
    132,118x = 8,592,127,332.91
  5. Step 5: Solve for x
    x = 8,592,127,332.91/132,118
  6. Step 6: Final answer
    x = 65,033.74

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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.