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Finding the Fourth Proportional to 206,376.68, 284,803.08 and 115,752.80

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Solution

The fourth proportional to 206,376.68, 284,803.08 and 115,752.80 is: 159,740.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,376.68 : 284,803.08 = 115,752.80 : x
  2. Step 2: Convert to fraction form
    206,376.68/284,803.08 = 115,752.80/x
  3. Step 3: Cross multiply
    206,376.68x = 284,803.08 × 115,752.80
  4. Step 4: Simplify right side
    206,376.68x = 32,966,753,958.62
  5. Step 5: Solve for x
    x = 32,966,753,958.62/206,376.68
  6. Step 6: Final answer
    x = 159,740.69

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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.