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Finding the Fourth Proportional to 205,695.92, 283,886.66 and 115,056.92

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Solution

The fourth proportional to 205,695.92, 283,886.66 and 115,056.92 is: 158,793.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,695.92 : 283,886.66 = 115,056.92 : x
  2. Step 2: Convert to fraction form
    205,695.92/283,886.66 = 115,056.92/x
  3. Step 3: Cross multiply
    205,695.92x = 283,886.66 × 115,056.92
  4. Step 4: Simplify right side
    205,695.92x = 32,663,122,733.97
  5. Step 5: Solve for x
    x = 32,663,122,733.97/205,695.92
  6. Step 6: Final answer
    x = 158,793.25

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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.