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Finding the Fourth Proportional to 206,426.68, 284,872.08 and 115,802.80

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Solution

The fourth proportional to 206,426.68, 284,872.08 and 115,802.80 is: 159,809.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,426.68 : 284,872.08 = 115,802.80 : x
  2. Step 2: Convert to fraction form
    206,426.68/284,872.08 = 115,802.80/x
  3. Step 3: Cross multiply
    206,426.68x = 284,872.08 × 115,802.80
  4. Step 4: Simplify right side
    206,426.68x = 32,988,984,505.82
  5. Step 5: Solve for x
    x = 32,988,984,505.82/206,426.68
  6. Step 6: Final answer
    x = 159,809.69

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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.