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Finding the Fourth Proportional to 127,778.11, 191,421.50 and 71,447.40

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Solution

The fourth proportional to 127,778.11, 191,421.50 and 71,447.40 is: 107,033.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,778.11 : 191,421.50 = 71,447.40 : x
  2. Step 2: Convert to fraction form
    127,778.11/191,421.50 = 71,447.40/x
  3. Step 3: Cross multiply
    127,778.11x = 191,421.50 × 71,447.40
  4. Step 4: Simplify right side
    127,778.11x = 13,676,568,121.86
  5. Step 5: Solve for x
    x = 13,676,568,121.86/127,778.11
  6. Step 6: Final answer
    x = 107,033.74

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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.