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Finding the Fourth Proportional to 204,085.76, 306,129.24 and 61,932.17

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Solution

The fourth proportional to 204,085.76, 306,129.24 and 61,932.17 is: 92,898.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,085.76 : 306,129.24 = 61,932.17 : x
  2. Step 2: Convert to fraction form
    204,085.76/306,129.24 = 61,932.17/x
  3. Step 3: Cross multiply
    204,085.76x = 306,129.24 × 61,932.17
  4. Step 4: Simplify right side
    204,085.76x = 18,959,248,898.97
  5. Step 5: Solve for x
    x = 18,959,248,898.97/204,085.76
  6. Step 6: Final answer
    x = 92,898.44

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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.