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Finding the Fourth Proportional to 195,874.80, 270,302.40 and 114,217.92

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Solution

The fourth proportional to 195,874.80, 270,302.40 and 114,217.92 is: 157,617.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    195,874.80 : 270,302.40 = 114,217.92 : x
  2. Step 2: Convert to fraction form
    195,874.80/270,302.40 = 114,217.92/x
  3. Step 3: Cross multiply
    195,874.80x = 270,302.40 × 114,217.92
  4. Step 4: Simplify right side
    195,874.80x = 30,873,377,899.01
  5. Step 5: Solve for x
    x = 30,873,377,899.01/195,874.80
  6. Step 6: Final answer
    x = 157,617.92

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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.