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Finding the Fourth Proportional to 206,695.36, 310,034.88 and 58,951.36

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Solution

The fourth proportional to 206,695.36, 310,034.88 and 58,951.36 is: 88,424.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,695.36 : 310,034.88 = 58,951.36 : x
  2. Step 2: Convert to fraction form
    206,695.36/310,034.88 = 58,951.36/x
  3. Step 3: Cross multiply
    206,695.36x = 310,034.88 × 58,951.36
  4. Step 4: Simplify right side
    206,695.36x = 18,276,977,823.44
  5. Step 5: Solve for x
    x = 18,276,977,823.44/206,695.36
  6. Step 6: Final answer
    x = 88,424.71

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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.