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Finding the Fourth Proportional to 132,840.64, 198,414.33 and 120,170.90

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Solution

The fourth proportional to 132,840.64, 198,414.33 and 120,170.90 is: 179,490.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,840.64 : 198,414.33 = 120,170.90 : x
  2. Step 2: Convert to fraction form
    132,840.64/198,414.33 = 120,170.90/x
  3. Step 3: Cross multiply
    132,840.64x = 198,414.33 × 120,170.90
  4. Step 4: Simplify right side
    132,840.64x = 23,843,628,609.00
  5. Step 5: Solve for x
    x = 23,843,628,609.00/132,840.64
  6. Step 6: Final answer
    x = 179,490.47

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.