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Finding the Fourth Proportional to 188,625.89, 260,298.69 and 106,969.12

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Solution

The fourth proportional to 188,625.89, 260,298.69 and 106,969.12 is: 147,614.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,625.89 : 260,298.69 = 106,969.12 : x
  2. Step 2: Convert to fraction form
    188,625.89/260,298.69 = 106,969.12/x
  3. Step 3: Cross multiply
    188,625.89x = 260,298.69 × 106,969.12
  4. Step 4: Simplify right side
    188,625.89x = 27,843,921,806.45
  5. Step 5: Solve for x
    x = 27,843,921,806.45/188,625.89
  6. Step 6: Final answer
    x = 147,614.53

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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.