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Finding the Fourth Proportional to 205,816.56, 308,761.56 and 72,774.06

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Solution

The fourth proportional to 205,816.56, 308,761.56 and 72,774.06 is: 109,174.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,816.56 : 308,761.56 = 72,774.06 : x
  2. Step 2: Convert to fraction form
    205,816.56/308,761.56 = 72,774.06/x
  3. Step 3: Cross multiply
    205,816.56x = 308,761.56 × 72,774.06
  4. Step 4: Simplify right side
    205,816.56x = 22,469,832,293.13
  5. Step 5: Solve for x
    x = 22,469,832,293.13/205,816.56
  6. Step 6: Final answer
    x = 109,174.07

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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.