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Finding the Fourth Proportional to 206,469.15, 284,941.17 and 115,831.50

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Solution

The fourth proportional to 206,469.15, 284,941.17 and 115,831.50 is: 159,855.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,469.15 : 284,941.17 = 115,831.50 : x
  2. Step 2: Convert to fraction form
    206,469.15/284,941.17 = 115,831.50/x
  3. Step 3: Cross multiply
    206,469.15x = 284,941.17 × 115,831.50
  4. Step 4: Simplify right side
    206,469.15x = 33,005,163,132.86
  5. Step 5: Solve for x
    x = 33,005,163,132.86/206,469.15
  6. Step 6: Final answer
    x = 159,855.18

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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.