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Finding the Fourth Proportional to 281,952.77, 423,016.83 and 92,414.79

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Solution

The fourth proportional to 281,952.77, 423,016.83 and 92,414.79 is: 138,650.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,952.77 : 423,016.83 = 92,414.79 : x
  2. Step 2: Convert to fraction form
    281,952.77/423,016.83 = 92,414.79/x
  3. Step 3: Cross multiply
    281,952.77x = 423,016.83 × 92,414.79
  4. Step 4: Simplify right side
    281,952.77x = 39,093,011,510.92
  5. Step 5: Solve for x
    x = 39,093,011,510.92/281,952.77
  6. Step 6: Final answer
    x = 138,650.92

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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.