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Finding the Fourth Proportional to 204,193.92, 306,243.84 and 77,848.56

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Solution

The fourth proportional to 204,193.92, 306,243.84 and 77,848.56 is: 116,754.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,193.92 : 306,243.84 = 77,848.56 : x
  2. Step 2: Convert to fraction form
    204,193.92/306,243.84 = 77,848.56/x
  3. Step 3: Cross multiply
    204,193.92x = 306,243.84 × 77,848.56
  4. Step 4: Simplify right side
    204,193.92x = 23,840,641,952.87
  5. Step 5: Solve for x
    x = 23,840,641,952.87/204,193.92
  6. Step 6: Final answer
    x = 116,754.91

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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.