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Finding the Fourth Proportional to 206,232.18, 284,571.54 and 115,581.03

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Solution

The fourth proportional to 206,232.18, 284,571.54 and 115,581.03 is: 159,485.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,232.18 : 284,571.54 = 115,581.03 : x
  2. Step 2: Convert to fraction form
    206,232.18/284,571.54 = 115,581.03/x
  3. Step 3: Cross multiply
    206,232.18x = 284,571.54 × 115,581.03
  4. Step 4: Simplify right side
    206,232.18x = 32,891,071,701.89
  5. Step 5: Solve for x
    x = 32,891,071,701.89/206,232.18
  6. Step 6: Final answer
    x = 159,485.64

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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.