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Finding the Fourth Proportional to 206,282.34, 284,654.76 and 115,637.70

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Solution

The fourth proportional to 206,282.34, 284,654.76 and 115,637.70 is: 159,571.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,282.34 : 284,654.76 = 115,637.70 : x
  2. Step 2: Convert to fraction form
    206,282.34/284,654.76 = 115,637.70/x
  3. Step 3: Cross multiply
    206,282.34x = 284,654.76 × 115,637.70
  4. Step 4: Simplify right side
    206,282.34x = 32,916,821,740.45
  5. Step 5: Solve for x
    x = 32,916,821,740.45/206,282.34
  6. Step 6: Final answer
    x = 159,571.69

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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.