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Finding the Fourth Proportional to 205,896.30, 308,867.49 and 65,623.02

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Solution

The fourth proportional to 205,896.30, 308,867.49 and 65,623.02 is: 98,441.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,896.30 : 308,867.49 = 65,623.02 : x
  2. Step 2: Convert to fraction form
    205,896.30/308,867.49 = 65,623.02/x
  3. Step 3: Cross multiply
    205,896.30x = 308,867.49 × 65,623.02
  4. Step 4: Simplify right side
    205,896.30x = 20,268,817,473.62
  5. Step 5: Solve for x
    x = 20,268,817,473.62/205,896.30
  6. Step 6: Final answer
    x = 98,441.87

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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.