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Finding the Fourth Proportional to 272,426.50, 408,639.75 and 75,434.50

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Solution

The fourth proportional to 272,426.50, 408,639.75 and 75,434.50 is: 113,151.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    272,426.50 : 408,639.75 = 75,434.50 : x
  2. Step 2: Convert to fraction form
    272,426.50/408,639.75 = 75,434.50/x
  3. Step 3: Cross multiply
    272,426.50x = 408,639.75 × 75,434.50
  4. Step 4: Simplify right side
    272,426.50x = 30,825,535,221.38
  5. Step 5: Solve for x
    x = 30,825,535,221.38/272,426.50
  6. Step 6: Final answer
    x = 113,151.75

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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.