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Finding the Fourth Proportional to 204,434.67, 282,117.67 and 113,789.19

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Solution

The fourth proportional to 204,434.67, 282,117.67 and 113,789.19 is: 157,027.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,434.67 : 282,117.67 = 113,789.19 : x
  2. Step 2: Convert to fraction form
    204,434.67/282,117.67 = 113,789.19/x
  3. Step 3: Cross multiply
    204,434.67x = 282,117.67 × 113,789.19
  4. Step 4: Simplify right side
    204,434.67x = 32,101,941,153.99
  5. Step 5: Solve for x
    x = 32,101,941,153.99/204,434.67
  6. Step 6: Final answer
    x = 157,027.87

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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.