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Finding the Fourth Proportional to 86,851.70, 130,277.55 and 82,013.30

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Solution

The fourth proportional to 86,851.70, 130,277.55 and 82,013.30 is: 123,019.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,851.70 : 130,277.55 = 82,013.30 : x
  2. Step 2: Convert to fraction form
    86,851.70/130,277.55 = 82,013.30/x
  3. Step 3: Cross multiply
    86,851.70x = 130,277.55 × 82,013.30
  4. Step 4: Simplify right side
    86,851.70x = 10,684,491,791.42
  5. Step 5: Solve for x
    x = 10,684,491,791.42/86,851.70
  6. Step 6: Final answer
    x = 123,019.95

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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.