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Finding the Fourth Proportional to 205,876.30, 308,814.45 and 81,201.10

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Solution

The fourth proportional to 205,876.30, 308,814.45 and 81,201.10 is: 121,801.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,876.30 : 308,814.45 = 81,201.10 : x
  2. Step 2: Convert to fraction form
    205,876.30/308,814.45 = 81,201.10/x
  3. Step 3: Cross multiply
    205,876.30x = 308,814.45 × 81,201.10
  4. Step 4: Simplify right side
    205,876.30x = 25,076,073,035.90
  5. Step 5: Solve for x
    x = 25,076,073,035.90/205,876.30
  6. Step 6: Final answer
    x = 121,801.65

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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.