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Finding the Fourth Proportional to 100,367.30, 138,508.27 and 55,042.30

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Solution

The fourth proportional to 100,367.30, 138,508.27 and 55,042.30 is: 75,959.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,367.30 : 138,508.27 = 55,042.30 : x
  2. Step 2: Convert to fraction form
    100,367.30/138,508.27 = 55,042.30/x
  3. Step 3: Cross multiply
    100,367.30x = 138,508.27 × 55,042.30
  4. Step 4: Simplify right side
    100,367.30x = 7,623,813,749.82
  5. Step 5: Solve for x
    x = 7,623,813,749.82/100,367.30
  6. Step 6: Final answer
    x = 75,959.14

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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.