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Finding the Fourth Proportional to 188,489.43, 282,733.97 and 48,247.83

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Solution

The fourth proportional to 188,489.43, 282,733.97 and 48,247.83 is: 72,371.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,489.43 : 282,733.97 = 48,247.83 : x
  2. Step 2: Convert to fraction form
    188,489.43/282,733.97 = 48,247.83/x
  3. Step 3: Cross multiply
    188,489.43x = 282,733.97 × 48,247.83
  4. Step 4: Simplify right side
    188,489.43x = 13,641,300,278.55
  5. Step 5: Solve for x
    x = 13,641,300,278.55/188,489.43
  6. Step 6: Final answer
    x = 72,371.70

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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.