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Finding the Fourth Proportional to 188,965.14, 260,771.84 and 104,082.20

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Solution

The fourth proportional to 188,965.14, 260,771.84 and 104,082.20 is: 143,633.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,965.14 : 260,771.84 = 104,082.20 : x
  2. Step 2: Convert to fraction form
    188,965.14/260,771.84 = 104,082.20/x
  3. Step 3: Cross multiply
    188,965.14x = 260,771.84 × 104,082.20
  4. Step 4: Simplify right side
    188,965.14x = 27,141,706,349.18
  5. Step 5: Solve for x
    x = 27,141,706,349.18/188,965.14
  6. Step 6: Final answer
    x = 143,633.41

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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.