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Finding the Fourth Proportional to 221,900.41, 332,752.19 and 137,657.17

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Solution

The fourth proportional to 221,900.41, 332,752.19 and 137,657.17 is: 206,424.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,900.41 : 332,752.19 = 137,657.17 : x
  2. Step 2: Convert to fraction form
    221,900.41/332,752.19 = 137,657.17/x
  3. Step 3: Cross multiply
    221,900.41x = 332,752.19 × 137,657.17
  4. Step 4: Simplify right side
    221,900.41x = 45,805,724,514.36
  5. Step 5: Solve for x
    x = 45,805,724,514.36/221,900.41
  6. Step 6: Final answer
    x = 206,424.69

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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.