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Finding the Fourth Proportional to 205,680.92, 283,840.31 and 115,038.43

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Solution

The fourth proportional to 205,680.92, 283,840.31 and 115,038.43 is: 158,753.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,680.92 : 283,840.31 = 115,038.43 : x
  2. Step 2: Convert to fraction form
    205,680.92/283,840.31 = 115,038.43/x
  3. Step 3: Cross multiply
    205,680.92x = 283,840.31 × 115,038.43
  4. Step 4: Simplify right side
    205,680.92x = 32,652,543,211.11
  5. Step 5: Solve for x
    x = 32,652,543,211.11/205,680.92
  6. Step 6: Final answer
    x = 158,753.39

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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.