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Finding the Fourth Proportional to 209,248.26, 288,616.41 and 137,605.38

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Solution

The fourth proportional to 209,248.26, 288,616.41 and 137,605.38 is: 189,799.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,248.26 : 288,616.41 = 137,605.38 : x
  2. Step 2: Convert to fraction form
    209,248.26/288,616.41 = 137,605.38/x
  3. Step 3: Cross multiply
    209,248.26x = 288,616.41 × 137,605.38
  4. Step 4: Simplify right side
    209,248.26x = 39,715,170,772.29
  5. Step 5: Solve for x
    x = 39,715,170,772.29/209,248.26
  6. Step 6: Final answer
    x = 189,799.29

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.