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Finding the Fourth Proportional to 282,794, 424,191 and 85,802

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Solution

The fourth proportional to 282,794, 424,191 and 85,802 is: 128,703

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,794 : 424,191 = 85,802 : x
  2. Step 2: Convert to fraction form
    282,794/424,191 = 85,802/x
  3. Step 3: Cross multiply
    282,794x = 424,191 × 85,802
  4. Step 4: Simplify right side
    282,794x = 36,396,436,182
  5. Step 5: Solve for x
    x = 36,396,436,182/282,794
  6. Step 6: Final answer
    x = 128,703

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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.