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Finding the Fourth Proportional to 127,978.38, 191,818.10 and 96,286.64

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Solution

The fourth proportional to 127,978.38, 191,818.10 and 96,286.64 is: 144,317.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,978.38 : 191,818.10 = 96,286.64 : x
  2. Step 2: Convert to fraction form
    127,978.38/191,818.10 = 96,286.64/x
  3. Step 3: Cross multiply
    127,978.38x = 191,818.10 × 96,286.64
  4. Step 4: Simplify right side
    127,978.38x = 18,469,520,340.18
  5. Step 5: Solve for x
    x = 18,469,520,340.18/127,978.38
  6. Step 6: Final answer
    x = 144,317.50

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.