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Finding the Fourth Proportional to 225,195, 310,773.06 and 123,229.38

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Solution

The fourth proportional to 225,195, 310,773.06 and 123,229.38 is: 170,058.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,195 : 310,773.06 = 123,229.38 : x
  2. Step 2: Convert to fraction form
    225,195/310,773.06 = 123,229.38/x
  3. Step 3: Cross multiply
    225,195x = 310,773.06 × 123,229.38
  4. Step 4: Simplify right side
    225,195x = 38,296,371,504.50
  5. Step 5: Solve for x
    x = 38,296,371,504.50/225,195
  6. Step 6: Final answer
    x = 170,058.71

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1.5x scale

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.