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Finding the Fourth Proportional to 192,617.30, 265,819.92 and 119,046.08

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Solution

The fourth proportional to 192,617.30, 265,819.92 and 119,046.08 is: 164,288.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,617.30 : 265,819.92 = 119,046.08 : x
  2. Step 2: Convert to fraction form
    192,617.30/265,819.92 = 119,046.08/x
  3. Step 3: Cross multiply
    192,617.30x = 265,819.92 × 119,046.08
  4. Step 4: Simplify right side
    192,617.30x = 31,644,819,461.91
  5. Step 5: Solve for x
    x = 31,644,819,461.91/192,617.30
  6. Step 6: Final answer
    x = 164,288.56

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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.