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Finding the Fourth Proportional to 119,412.87, 164,789.75 and 65,696.73

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Solution

The fourth proportional to 119,412.87, 164,789.75 and 65,696.73 is: 90,661.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,412.87 : 164,789.75 = 65,696.73 : x
  2. Step 2: Convert to fraction form
    119,412.87/164,789.75 = 65,696.73/x
  3. Step 3: Cross multiply
    119,412.87x = 164,789.75 × 65,696.73
  4. Step 4: Simplify right side
    119,412.87x = 10,826,146,972.06
  5. Step 5: Solve for x
    x = 10,826,146,972.06/119,412.87
  6. Step 6: Final answer
    x = 90,661.48

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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.