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Finding the Fourth Proportional to 206,264.46, 284,665.12 and 115,620.60

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Solution

The fourth proportional to 206,264.46, 284,665.12 and 115,620.60 is: 159,567.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,264.46 : 284,665.12 = 115,620.60 : x
  2. Step 2: Convert to fraction form
    206,264.46/284,665.12 = 115,620.60/x
  3. Step 3: Cross multiply
    206,264.46x = 284,665.12 × 115,620.60
  4. Step 4: Simplify right side
    206,264.46x = 32,913,151,973.47
  5. Step 5: Solve for x
    x = 32,913,151,973.47/206,264.46
  6. Step 6: Final answer
    x = 159,567.73

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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.