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Finding the Fourth Proportional to 165,169.65, 227,970.42 and 108,586.29

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Solution

The fourth proportional to 165,169.65, 227,970.42 and 108,586.29 is: 149,872.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,169.65 : 227,970.42 = 108,586.29 : x
  2. Step 2: Convert to fraction form
    165,169.65/227,970.42 = 108,586.29/x
  3. Step 3: Cross multiply
    165,169.65x = 227,970.42 × 108,586.29
  4. Step 4: Simplify right side
    165,169.65x = 24,754,462,137.54
  5. Step 5: Solve for x
    x = 24,754,462,137.54/165,169.65
  6. Step 6: Final answer
    x = 149,872.95

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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.