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Finding the Fourth Proportional to 138,851.10, 191,615.22 and 75,189.15

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Solution

The fourth proportional to 138,851.10, 191,615.22 and 75,189.15 is: 103,761.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,851.10 : 191,615.22 = 75,189.15 : x
  2. Step 2: Convert to fraction form
    138,851.10/191,615.22 = 75,189.15/x
  3. Step 3: Cross multiply
    138,851.10x = 191,615.22 × 75,189.15
  4. Step 4: Simplify right side
    138,851.10x = 14,407,385,518.86
  5. Step 5: Solve for x
    x = 14,407,385,518.86/138,851.10
  6. Step 6: Final answer
    x = 103,761.41

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.