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Finding the Fourth Proportional to 208,403.28, 312,605.28 and 50,631.84

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Solution

The fourth proportional to 208,403.28, 312,605.28 and 50,631.84 is: 75,947.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,403.28 : 312,605.28 = 50,631.84 : x
  2. Step 2: Convert to fraction form
    208,403.28/312,605.28 = 50,631.84/x
  3. Step 3: Cross multiply
    208,403.28x = 312,605.28 × 50,631.84
  4. Step 4: Simplify right side
    208,403.28x = 15,827,780,520.12
  5. Step 5: Solve for x
    x = 15,827,780,520.12/208,403.28
  6. Step 6: Final answer
    x = 75,947.85

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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.