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Finding the Fourth Proportional to 100,366.96, 138,508.32 and 55,042.24

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Solution

The fourth proportional to 100,366.96, 138,508.32 and 55,042.24 is: 75,959.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,366.96 : 138,508.32 = 55,042.24 : x
  2. Step 2: Convert to fraction form
    100,366.96/138,508.32 = 55,042.24/x
  3. Step 3: Cross multiply
    100,366.96x = 138,508.32 × 55,042.24
  4. Step 4: Simplify right side
    100,366.96x = 7,623,808,191.44
  5. Step 5: Solve for x
    x = 7,623,808,191.44/100,366.96
  6. Step 6: Final answer
    x = 75,959.34

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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.