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Finding the Fourth Proportional to 189,248.27, 283,789.98 and 54,282.56

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Solution

The fourth proportional to 189,248.27, 283,789.98 and 54,282.56 is: 81,400.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,248.27 : 283,789.98 = 54,282.56 : x
  2. Step 2: Convert to fraction form
    189,248.27/283,789.98 = 54,282.56/x
  3. Step 3: Cross multiply
    189,248.27x = 283,789.98 × 54,282.56
  4. Step 4: Simplify right side
    189,248.27x = 15,404,845,197.80
  5. Step 5: Solve for x
    x = 15,404,845,197.80/189,248.27
  6. Step 6: Final answer
    x = 81,400.19

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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.