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Finding the Fourth Proportional to 120,467.14, 166,240.16 and 69,482

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Solution

The fourth proportional to 120,467.14, 166,240.16 and 69,482 is: 95,882.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,467.14 : 166,240.16 = 69,482 : x
  2. Step 2: Convert to fraction form
    120,467.14/166,240.16 = 69,482/x
  3. Step 3: Cross multiply
    120,467.14x = 166,240.16 × 69,482
  4. Step 4: Simplify right side
    120,467.14x = 11,550,698,797.12
  5. Step 5: Solve for x
    x = 11,550,698,797.12/120,467.14
  6. Step 6: Final answer
    x = 95,882.57

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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.