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Finding the Fourth Proportional to 188,475.78, 260,093.22 and 103,592.82

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Solution

The fourth proportional to 188,475.78, 260,093.22 and 103,592.82 is: 142,956.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,475.78 : 260,093.22 = 103,592.82 : x
  2. Step 2: Convert to fraction form
    188,475.78/260,093.22 = 103,592.82/x
  3. Step 3: Cross multiply
    188,475.78x = 260,093.22 × 103,592.82
  4. Step 4: Simplify right side
    188,475.78x = 26,943,790,122.68
  5. Step 5: Solve for x
    x = 26,943,790,122.68/188,475.78
  6. Step 6: Final answer
    x = 142,956.25

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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.