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Finding the Fourth Proportional to 206,362.86, 284,831.40 and 125,834.76

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Solution

The fourth proportional to 206,362.86, 284,831.40 and 125,834.76 is: 173,682.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,362.86 : 284,831.40 = 125,834.76 : x
  2. Step 2: Convert to fraction form
    206,362.86/284,831.40 = 125,834.76/x
  3. Step 3: Cross multiply
    206,362.86x = 284,831.40 × 125,834.76
  4. Step 4: Simplify right side
    206,362.86x = 35,841,690,859.46
  5. Step 5: Solve for x
    x = 35,841,690,859.46/206,362.86
  6. Step 6: Final answer
    x = 173,682.86

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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.