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Finding the Fourth Proportional to 263,680.89, 395,570.51 and 86,197.61

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Solution

The fourth proportional to 263,680.89, 395,570.51 and 86,197.61 is: 129,312.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,680.89 : 395,570.51 = 86,197.61 : x
  2. Step 2: Convert to fraction form
    263,680.89/395,570.51 = 86,197.61/x
  3. Step 3: Cross multiply
    263,680.89x = 395,570.51 × 86,197.61
  4. Step 4: Simplify right side
    263,680.89x = 34,097,230,139.64
  5. Step 5: Solve for x
    x = 34,097,230,139.64/263,680.89
  6. Step 6: Final answer
    x = 129,312.48

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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.