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Finding the Fourth Proportional to 206,634.35, 285,082.06 and 135,055.66

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Solution

The fourth proportional to 206,634.35, 285,082.06 and 135,055.66 is: 186,328.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,634.35 : 285,082.06 = 135,055.66 : x
  2. Step 2: Convert to fraction form
    206,634.35/285,082.06 = 135,055.66/x
  3. Step 3: Cross multiply
    206,634.35x = 285,082.06 × 135,055.66
  4. Step 4: Simplify right side
    206,634.35x = 38,501,945,767.46
  5. Step 5: Solve for x
    x = 38,501,945,767.46/206,634.35
  6. Step 6: Final answer
    x = 186,328.87

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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.