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Finding the Fourth Proportional to 254,729.30, 382,081.80 and 86,233.10

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Solution

The fourth proportional to 254,729.30, 382,081.80 and 86,233.10 is: 129,345.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,729.30 : 382,081.80 = 86,233.10 : x
  2. Step 2: Convert to fraction form
    254,729.30/382,081.80 = 86,233.10/x
  3. Step 3: Cross multiply
    254,729.30x = 382,081.80 × 86,233.10
  4. Step 4: Simplify right side
    254,729.30x = 32,948,098,067.58
  5. Step 5: Solve for x
    x = 32,948,098,067.58/254,729.30
  6. Step 6: Final answer
    x = 129,345.54

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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.