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Finding the Fourth Proportional to 205,086.30, 307,111.05 and 163,614.30

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Solution

The fourth proportional to 205,086.30, 307,111.05 and 163,614.30 is: 245,007.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,086.30 : 307,111.05 = 163,614.30 : x
  2. Step 2: Convert to fraction form
    205,086.30/307,111.05 = 163,614.30/x
  3. Step 3: Cross multiply
    205,086.30x = 307,111.05 × 163,614.30
  4. Step 4: Simplify right side
    205,086.30x = 50,247,759,468.02
  5. Step 5: Solve for x
    x = 50,247,759,468.02/205,086.30
  6. Step 6: Final answer
    x = 245,007.88

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.