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Finding the Fourth Proportional to 206,618.27, 285,111.27 and 115,984.19

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Solution

The fourth proportional to 206,618.27, 285,111.27 and 115,984.19 is: 160,045.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,618.27 : 285,111.27 = 115,984.19 : x
  2. Step 2: Convert to fraction form
    206,618.27/285,111.27 = 115,984.19/x
  3. Step 3: Cross multiply
    206,618.27x = 285,111.27 × 115,984.19
  4. Step 4: Simplify right side
    206,618.27x = 33,068,400,423.60
  5. Step 5: Solve for x
    x = 33,068,400,423.60/206,618.27
  6. Step 6: Final answer
    x = 160,045.87

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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.