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Finding the Fourth Proportional to 206,339.54, 284,747.47 and 115,695.41

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Solution

The fourth proportional to 206,339.54, 284,747.47 and 115,695.41 is: 159,659.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,339.54 : 284,747.47 = 115,695.41 : x
  2. Step 2: Convert to fraction form
    206,339.54/284,747.47 = 115,695.41/x
  3. Step 3: Cross multiply
    206,339.54x = 284,747.47 × 115,695.41
  4. Step 4: Simplify right side
    206,339.54x = 32,943,973,575.14
  5. Step 5: Solve for x
    x = 32,943,973,575.14/206,339.54
  6. Step 6: Final answer
    x = 159,659.05

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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.