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Finding the Fourth Proportional to 205,952.57, 308,371.31 and 145,733.52

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Solution

The fourth proportional to 205,952.57, 308,371.31 and 145,733.52 is: 218,205.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,952.57 : 308,371.31 = 145,733.52 : x
  2. Step 2: Convert to fraction form
    205,952.57/308,371.31 = 145,733.52/x
  3. Step 3: Cross multiply
    205,952.57x = 308,371.31 × 145,733.52
  4. Step 4: Simplify right side
    205,952.57x = 44,940,037,005.97
  5. Step 5: Solve for x
    x = 44,940,037,005.97/205,952.57
  6. Step 6: Final answer
    x = 218,205.76

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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.