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Finding the Fourth Proportional to 206,498.20, 284,992.86 and 125,950.36

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Solution

The fourth proportional to 206,498.20, 284,992.86 and 125,950.36 is: 173,826.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,498.20 : 284,992.86 = 125,950.36 : x
  2. Step 2: Convert to fraction form
    206,498.20/284,992.86 = 125,950.36/x
  3. Step 3: Cross multiply
    206,498.20x = 284,992.86 × 125,950.36
  4. Step 4: Simplify right side
    206,498.20x = 35,894,953,314.43
  5. Step 5: Solve for x
    x = 35,894,953,314.43/206,498.20
  6. Step 6: Final answer
    x = 173,826.95

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.