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Finding the Fourth Proportional to 252,616.26, 378,893.67 and 157,854.90

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Solution

The fourth proportional to 252,616.26, 378,893.67 and 157,854.90 is: 236,763.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,616.26 : 378,893.67 = 157,854.90 : x
  2. Step 2: Convert to fraction form
    252,616.26/378,893.67 = 157,854.90/x
  3. Step 3: Cross multiply
    252,616.26x = 378,893.67 × 157,854.90
  4. Step 4: Simplify right side
    252,616.26x = 59,810,222,388.48
  5. Step 5: Solve for x
    x = 59,810,222,388.48/252,616.26
  6. Step 6: Final answer
    x = 236,763.15

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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.