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Finding the Fourth Proportional to 204,594.45, 282,339.54 and 113,951.49

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Solution

The fourth proportional to 204,594.45, 282,339.54 and 113,951.49 is: 157,252.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,594.45 : 282,339.54 = 113,951.49 : x
  2. Step 2: Convert to fraction form
    204,594.45/282,339.54 = 113,951.49/x
  3. Step 3: Cross multiply
    204,594.45x = 282,339.54 × 113,951.49
  4. Step 4: Simplify right side
    204,594.45x = 32,173,011,268.91
  5. Step 5: Solve for x
    x = 32,173,011,268.91/204,594.45
  6. Step 6: Final answer
    x = 157,252.61

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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.