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Finding the Fourth Proportional to 220,098.30, 303,743.01 and 123,306.34

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Solution

The fourth proportional to 220,098.30, 303,743.01 and 123,306.34 is: 170,166.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    220,098.30 : 303,743.01 = 123,306.34 : x
  2. Step 2: Convert to fraction form
    220,098.30/303,743.01 = 123,306.34/x
  3. Step 3: Cross multiply
    220,098.30x = 303,743.01 × 123,306.34
  4. Step 4: Simplify right side
    220,098.30x = 37,453,438,863.68
  5. Step 5: Solve for x
    x = 37,453,438,863.68/220,098.30
  6. Step 6: Final answer
    x = 170,166.87

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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.