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Finding the Fourth Proportional to 111,446.86, 153,794.02 and 61,717.78

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Solution

The fourth proportional to 111,446.86, 153,794.02 and 61,717.78 is: 85,169.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,446.86 : 153,794.02 = 61,717.78 : x
  2. Step 2: Convert to fraction form
    111,446.86/153,794.02 = 61,717.78/x
  3. Step 3: Cross multiply
    111,446.86x = 153,794.02 × 61,717.78
  4. Step 4: Simplify right side
    111,446.86x = 9,491,825,491.68
  5. Step 5: Solve for x
    x = 9,491,825,491.68/111,446.86
  6. Step 6: Final answer
    x = 85,169.07

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.