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Finding the Fourth Proportional to 206,288.51, 284,663.67 and 114,406.26

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Solution

The fourth proportional to 206,288.51, 284,663.67 and 114,406.26 is: 157,872.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,288.51 : 284,663.67 = 114,406.26 : x
  2. Step 2: Convert to fraction form
    206,288.51/284,663.67 = 114,406.26/x
  3. Step 3: Cross multiply
    206,288.51x = 284,663.67 × 114,406.26
  4. Step 4: Simplify right side
    206,288.51x = 32,567,304,346.06
  5. Step 5: Solve for x
    x = 32,567,304,346.06/206,288.51
  6. Step 6: Final answer
    x = 157,872.61

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.