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Finding the Fourth Proportional to 206,391.66, 284,832.92 and 115,752.98

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Solution

The fourth proportional to 206,391.66, 284,832.92 and 115,752.98 is: 159,746.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,391.66 : 284,832.92 = 115,752.98 : x
  2. Step 2: Convert to fraction form
    206,391.66/284,832.92 = 115,752.98/x
  3. Step 3: Cross multiply
    206,391.66x = 284,832.92 × 115,752.98
  4. Step 4: Simplify right side
    206,391.66x = 32,970,259,292.10
  5. Step 5: Solve for x
    x = 32,970,259,292.10/206,391.66
  6. Step 6: Final answer
    x = 159,746.08

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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.