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Finding the Fourth Proportional to 188,965.25, 260,772.02 and 104,082.32

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Solution

The fourth proportional to 188,965.25, 260,772.02 and 104,082.32 is: 143,633.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,965.25 : 260,772.02 = 104,082.32 : x
  2. Step 2: Convert to fraction form
    188,965.25/260,772.02 = 104,082.32/x
  3. Step 3: Cross multiply
    188,965.25x = 260,772.02 × 104,082.32
  4. Step 4: Simplify right side
    188,965.25x = 27,141,756,473.13
  5. Step 5: Solve for x
    x = 27,141,756,473.13/188,965.25
  6. Step 6: Final answer
    x = 143,633.58

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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.