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Finding the Fourth Proportional to 205,959.20, 283,981.55 and 165,090.65

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Solution

The fourth proportional to 205,959.20, 283,981.55 and 165,090.65 is: 227,630.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,959.20 : 283,981.55 = 165,090.65 : x
  2. Step 2: Convert to fraction form
    205,959.20/283,981.55 = 165,090.65/x
  3. Step 3: Cross multiply
    205,959.20x = 283,981.55 × 165,090.65
  4. Step 4: Simplify right side
    205,959.20x = 46,882,696,432.15
  5. Step 5: Solve for x
    x = 46,882,696,432.15/205,959.20
  6. Step 6: Final answer
    x = 227,630.99

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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.