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Finding the Fourth Proportional to 208,053.46, 312,080.24 and 50,281.90

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Solution

The fourth proportional to 208,053.46, 312,080.24 and 50,281.90 is: 75,422.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,053.46 : 312,080.24 = 50,281.90 : x
  2. Step 2: Convert to fraction form
    208,053.46/312,080.24 = 50,281.90/x
  3. Step 3: Cross multiply
    208,053.46x = 312,080.24 × 50,281.90
  4. Step 4: Simplify right side
    208,053.46x = 15,691,986,765.16
  5. Step 5: Solve for x
    x = 15,691,986,765.16/208,053.46
  6. Step 6: Final answer
    x = 75,422.86

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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.