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Finding the Fourth Proportional to 204,767.57, 282,580.66 and 114,129.38

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Solution

The fourth proportional to 204,767.57, 282,580.66 and 114,129.38 is: 157,499.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,767.57 : 282,580.66 = 114,129.38 : x
  2. Step 2: Convert to fraction form
    204,767.57/282,580.66 = 114,129.38/x
  3. Step 3: Cross multiply
    204,767.57x = 282,580.66 × 114,129.38
  4. Step 4: Simplify right side
    204,767.57x = 32,250,755,525.79
  5. Step 5: Solve for x
    x = 32,250,755,525.79/204,767.57
  6. Step 6: Final answer
    x = 157,499.33

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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.