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Finding the Fourth Proportional to 218,648.24, 301,498.55 and 136,947.38

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Solution

The fourth proportional to 218,648.24, 301,498.55 and 136,947.38 is: 188,839.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,648.24 : 301,498.55 = 136,947.38 : x
  2. Step 2: Convert to fraction form
    218,648.24/301,498.55 = 136,947.38/x
  3. Step 3: Cross multiply
    218,648.24x = 301,498.55 × 136,947.38
  4. Step 4: Simplify right side
    218,648.24x = 41,289,436,496.30
  5. Step 5: Solve for x
    x = 41,289,436,496.30/218,648.24
  6. Step 6: Final answer
    x = 188,839.56

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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.