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Finding the Fourth Proportional to 119,289.54, 164,621.61 and 65,576.82

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Solution

The fourth proportional to 119,289.54, 164,621.61 and 65,576.82 is: 90,497.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,289.54 : 164,621.61 = 65,576.82 : x
  2. Step 2: Convert to fraction form
    119,289.54/164,621.61 = 65,576.82/x
  3. Step 3: Cross multiply
    119,289.54x = 164,621.61 × 65,576.82
  4. Step 4: Simplify right side
    119,289.54x = 10,795,361,687.08
  5. Step 5: Solve for x
    x = 10,795,361,687.08/119,289.54
  6. Step 6: Final answer
    x = 90,497.14

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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.