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Finding the Fourth Proportional to 275,823, 413,734.52 and 88,834.50

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Solution

The fourth proportional to 275,823, 413,734.52 and 88,834.50 is: 133,251.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,823 : 413,734.52 = 88,834.50 : x
  2. Step 2: Convert to fraction form
    275,823/413,734.52 = 88,834.50/x
  3. Step 3: Cross multiply
    275,823x = 413,734.52 × 88,834.50
  4. Step 4: Simplify right side
    275,823x = 36,753,899,439.03
  5. Step 5: Solve for x
    x = 36,753,899,439.03/275,823
  6. Step 6: Final answer
    x = 133,251.76

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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.