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Finding the Fourth Proportional to 205,959.90, 308,939.85 and 161,723.10

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Solution

The fourth proportional to 205,959.90, 308,939.85 and 161,723.10 is: 242,584.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,959.90 : 308,939.85 = 161,723.10 : x
  2. Step 2: Convert to fraction form
    205,959.90/308,939.85 = 161,723.10/x
  3. Step 3: Cross multiply
    205,959.90x = 308,939.85 × 161,723.10
  4. Step 4: Simplify right side
    205,959.90x = 49,962,710,255.54
  5. Step 5: Solve for x
    x = 49,962,710,255.54/205,959.90
  6. Step 6: Final answer
    x = 242,584.65

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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.