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Finding the Fourth Proportional to 204,487.70, 282,187.54 and 113,843.68

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Solution

The fourth proportional to 204,487.70, 282,187.54 and 113,843.68 is: 157,101.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,487.70 : 282,187.54 = 113,843.68 : x
  2. Step 2: Convert to fraction form
    204,487.70/282,187.54 = 113,843.68/x
  3. Step 3: Cross multiply
    204,487.70x = 282,187.54 × 113,843.68
  4. Step 4: Simplify right side
    204,487.70x = 32,125,268,003.75
  5. Step 5: Solve for x
    x = 32,125,268,003.75/204,487.70
  6. Step 6: Final answer
    x = 157,101.22

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.