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Finding the Fourth Proportional to 206,960.72, 285,629.39 and 115,089.10

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Solution

The fourth proportional to 206,960.72, 285,629.39 and 115,089.10 is: 158,836.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,960.72 : 285,629.39 = 115,089.10 : x
  2. Step 2: Convert to fraction form
    206,960.72/285,629.39 = 115,089.10/x
  3. Step 3: Cross multiply
    206,960.72x = 285,629.39 × 115,089.10
  4. Step 4: Simplify right side
    206,960.72x = 32,872,830,177.38
  5. Step 5: Solve for x
    x = 32,872,830,177.38/206,960.72
  6. Step 6: Final answer
    x = 158,836.08

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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.