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Finding the Fourth Proportional to 100,340.88, 138,472.02 and 55,023

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Solution

The fourth proportional to 100,340.88, 138,472.02 and 55,023 is: 75,932.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,340.88 : 138,472.02 = 55,023 : x
  2. Step 2: Convert to fraction form
    100,340.88/138,472.02 = 55,023/x
  3. Step 3: Cross multiply
    100,340.88x = 138,472.02 × 55,023
  4. Step 4: Simplify right side
    100,340.88x = 7,619,145,956.46
  5. Step 5: Solve for x
    x = 7,619,145,956.46/100,340.88
  6. Step 6: Final answer
    x = 75,932.62

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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.