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Finding the Fourth Proportional to 206,300.67, 284,695.95 and 115,660.46

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Solution

The fourth proportional to 206,300.67, 284,695.95 and 115,660.46 is: 159,612.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,300.67 : 284,695.95 = 115,660.46 : x
  2. Step 2: Convert to fraction form
    206,300.67/284,695.95 = 115,660.46/x
  3. Step 3: Cross multiply
    206,300.67x = 284,695.95 × 115,660.46
  4. Step 4: Simplify right side
    206,300.67x = 32,928,063,113.66
  5. Step 5: Solve for x
    x = 32,928,063,113.66/206,300.67
  6. Step 6: Final answer
    x = 159,612.00

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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.