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Finding the Fourth Proportional to 206,187.49, 284,524.36 and 114,305.87

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Solution

The fourth proportional to 206,187.49, 284,524.36 and 114,305.87 is: 157,734.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,187.49 : 284,524.36 = 114,305.87 : x
  2. Step 2: Convert to fraction form
    206,187.49/284,524.36 = 114,305.87/x
  3. Step 3: Cross multiply
    206,187.49x = 284,524.36 × 114,305.87
  4. Step 4: Simplify right side
    206,187.49x = 32,522,803,974.06
  5. Step 5: Solve for x
    x = 32,522,803,974.06/206,187.49
  6. Step 6: Final answer
    x = 157,734.13

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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.