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Finding the Fourth Proportional to 120,357.38, 166,095.78 and 65,911.84

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Solution

The fourth proportional to 120,357.38, 166,095.78 and 65,911.84 is: 90,959.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,357.38 : 166,095.78 = 65,911.84 : x
  2. Step 2: Convert to fraction form
    120,357.38/166,095.78 = 65,911.84/x
  3. Step 3: Cross multiply
    120,357.38x = 166,095.78 × 65,911.84
  4. Step 4: Simplify right side
    120,357.38x = 10,947,678,476.04
  5. Step 5: Solve for x
    x = 10,947,678,476.04/120,357.38
  6. Step 6: Final answer
    x = 90,959.76

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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.