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Finding the Fourth Proportional to 273,382.94, 410,086.84 and 83,829.44

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Solution

The fourth proportional to 273,382.94, 410,086.84 and 83,829.44 is: 125,747.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    273,382.94 : 410,086.84 = 83,829.44 : x
  2. Step 2: Convert to fraction form
    273,382.94/410,086.84 = 83,829.44/x
  3. Step 3: Cross multiply
    273,382.94x = 410,086.84 × 83,829.44
  4. Step 4: Simplify right side
    273,382.94x = 34,377,350,148.57
  5. Step 5: Solve for x
    x = 34,377,350,148.57/273,382.94
  6. Step 6: Final answer
    x = 125,747.97

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1.5x scale

Why These Related Problems?

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