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Finding the Fourth Proportional to 230,826.90, 346,287.15 and 131,034.90

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Solution

The fourth proportional to 230,826.90, 346,287.15 and 131,034.90 is: 196,578.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,826.90 : 346,287.15 = 131,034.90 : x
  2. Step 2: Convert to fraction form
    230,826.90/346,287.15 = 131,034.90/x
  3. Step 3: Cross multiply
    230,826.90x = 346,287.15 × 131,034.90
  4. Step 4: Simplify right side
    230,826.90x = 45,375,702,071.54
  5. Step 5: Solve for x
    x = 45,375,702,071.54/230,826.90
  6. Step 6: Final answer
    x = 196,578.92

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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.