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Finding the Fourth Proportional to 102,947.36, 154,371.72 and 50,295.20

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Solution

The fourth proportional to 102,947.36, 154,371.72 and 50,295.20 is: 75,418.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,947.36 : 154,371.72 = 50,295.20 : x
  2. Step 2: Convert to fraction form
    102,947.36/154,371.72 = 50,295.20/x
  3. Step 3: Cross multiply
    102,947.36x = 154,371.72 × 50,295.20
  4. Step 4: Simplify right side
    102,947.36x = 7,764,156,531.74
  5. Step 5: Solve for x
    x = 7,764,156,531.74/102,947.36
  6. Step 6: Final answer
    x = 75,418.70

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.