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Finding the Fourth Proportional to 206,477.67, 284,934.70 and 115,831.99

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Solution

The fourth proportional to 206,477.67, 284,934.70 and 115,831.99 is: 159,845.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,477.67 : 284,934.70 = 115,831.99 : x
  2. Step 2: Convert to fraction form
    206,477.67/284,934.70 = 115,831.99/x
  3. Step 3: Cross multiply
    206,477.67x = 284,934.70 × 115,831.99
  4. Step 4: Simplify right side
    206,477.67x = 33,004,553,321.05
  5. Step 5: Solve for x
    x = 33,004,553,321.05/206,477.67
  6. Step 6: Final answer
    x = 159,845.63

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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.