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Finding the Fourth Proportional to 111,952.73, 167,467.74 and 102,098.91

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Solution

The fourth proportional to 111,952.73, 167,467.74 and 102,098.91 is: 152,727.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,952.73 : 167,467.74 = 102,098.91 : x
  2. Step 2: Convert to fraction form
    111,952.73/167,467.74 = 102,098.91/x
  3. Step 3: Cross multiply
    111,952.73x = 167,467.74 × 102,098.91
  4. Step 4: Simplify right side
    111,952.73x = 17,098,273,959.30
  5. Step 5: Solve for x
    x = 17,098,273,959.30/111,952.73
  6. Step 6: Final answer
    x = 152,727.62

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.