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Finding the Fourth Proportional to 204,552.96, 306,822.15 and 71,432.70

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Solution

The fourth proportional to 204,552.96, 306,822.15 and 71,432.70 is: 107,146.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,552.96 : 306,822.15 = 71,432.70 : x
  2. Step 2: Convert to fraction form
    204,552.96/306,822.15 = 71,432.70/x
  3. Step 3: Cross multiply
    204,552.96x = 306,822.15 × 71,432.70
  4. Step 4: Simplify right side
    204,552.96x = 21,917,134,594.31
  5. Step 5: Solve for x
    x = 21,917,134,594.31/204,552.96
  6. Step 6: Final answer
    x = 107,146.50

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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.