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Finding the Fourth Proportional to 188,993.88, 260,694.30 and 112,461.24

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Solution

The fourth proportional to 188,993.88, 260,694.30 and 112,461.24 is: 155,126.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,993.88 : 260,694.30 = 112,461.24 : x
  2. Step 2: Convert to fraction form
    188,993.88/260,694.30 = 112,461.24/x
  3. Step 3: Cross multiply
    188,993.88x = 260,694.30 × 112,461.24
  4. Step 4: Simplify right side
    188,993.88x = 29,318,004,238.93
  5. Step 5: Solve for x
    x = 29,318,004,238.93/188,993.88
  6. Step 6: Final answer
    x = 155,126.74

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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.