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Finding the Fourth Proportional to 283,516.27, 425,357.43 and 83,841.82

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Solution

The fourth proportional to 283,516.27, 425,357.43 and 83,841.82 is: 125,787.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,516.27 : 425,357.43 = 83,841.82 : x
  2. Step 2: Convert to fraction form
    283,516.27/425,357.43 = 83,841.82/x
  3. Step 3: Cross multiply
    283,516.27x = 425,357.43 × 83,841.82
  4. Step 4: Simplify right side
    283,516.27x = 35,662,741,081.72
  5. Step 5: Solve for x
    x = 35,662,741,081.72/283,516.27
  6. Step 6: Final answer
    x = 125,787.28

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.