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Finding the Fourth Proportional to 225,853.57, 338,780.08 and 68,082.01

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Solution

The fourth proportional to 225,853.57, 338,780.08 and 68,082.01 is: 102,122.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,853.57 : 338,780.08 = 68,082.01 : x
  2. Step 2: Convert to fraction form
    225,853.57/338,780.08 = 68,082.01/x
  3. Step 3: Cross multiply
    225,853.57x = 338,780.08 × 68,082.01
  4. Step 4: Simplify right side
    225,853.57x = 23,064,828,794.36
  5. Step 5: Solve for x
    x = 23,064,828,794.36/225,853.57
  6. Step 6: Final answer
    x = 102,122.93

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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.