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Finding the Fourth Proportional to 100,377.26, 138,524.50 and 55,057.16

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Solution

The fourth proportional to 100,377.26, 138,524.50 and 55,057.16 is: 75,981.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,377.26 : 138,524.50 = 55,057.16 : x
  2. Step 2: Convert to fraction form
    100,377.26/138,524.50 = 55,057.16/x
  3. Step 3: Cross multiply
    100,377.26x = 138,524.50 × 55,057.16
  4. Step 4: Simplify right side
    100,377.26x = 7,626,764,730.15
  5. Step 5: Solve for x
    x = 7,626,764,730.15/100,377.26
  6. Step 6: Final answer
    x = 75,981.00

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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.