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Finding the Fourth Proportional to 206,416.18, 284,857.59 and 115,792.30

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Solution

The fourth proportional to 206,416.18, 284,857.59 and 115,792.30 is: 159,795.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,416.18 : 284,857.59 = 115,792.30 : x
  2. Step 2: Convert to fraction form
    206,416.18/284,857.59 = 115,792.30/x
  3. Step 3: Cross multiply
    206,416.18x = 284,857.59 × 115,792.30
  4. Step 4: Simplify right side
    206,416.18x = 32,984,315,518.56
  5. Step 5: Solve for x
    x = 32,984,315,518.56/206,416.18
  6. Step 6: Final answer
    x = 159,795.20

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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.