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Finding the Fourth Proportional to 206,856.61, 285,490.89 and 116,219.59

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Solution

The fourth proportional to 206,856.61, 285,490.89 and 116,219.59 is: 160,399.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,856.61 : 285,490.89 = 116,219.59 : x
  2. Step 2: Convert to fraction form
    206,856.61/285,490.89 = 116,219.59/x
  3. Step 3: Cross multiply
    206,856.61x = 285,490.89 × 116,219.59
  4. Step 4: Simplify right side
    206,856.61x = 33,179,633,470.81
  5. Step 5: Solve for x
    x = 33,179,633,470.81/206,856.61
  6. Step 6: Final answer
    x = 160,399.20

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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.