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Finding the Fourth Proportional to 119,449.86, 164,844.68 and 68,472.24

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Solution

The fourth proportional to 119,449.86, 164,844.68 and 68,472.24 is: 94,493.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,449.86 : 164,844.68 = 68,472.24 : x
  2. Step 2: Convert to fraction form
    119,449.86/164,844.68 = 68,472.24/x
  3. Step 3: Cross multiply
    119,449.86x = 164,844.68 × 68,472.24
  4. Step 4: Simplify right side
    119,449.86x = 11,287,284,491.68
  5. Step 5: Solve for x
    x = 11,287,284,491.68/119,449.86
  6. Step 6: Final answer
    x = 94,493.91

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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.