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Finding the Fourth Proportional to 204,844, 282,685.92 and 114,205.66

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Solution

The fourth proportional to 204,844, 282,685.92 and 114,205.66 is: 157,604.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,844 : 282,685.92 = 114,205.66 : x
  2. Step 2: Convert to fraction form
    204,844/282,685.92 = 114,205.66/x
  3. Step 3: Cross multiply
    204,844x = 282,685.92 × 114,205.66
  4. Step 4: Simplify right side
    204,844x = 32,284,332,066.31
  5. Step 5: Solve for x
    x = 32,284,332,066.31/204,844
  6. Step 6: Final answer
    x = 157,604.48

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