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Finding the Fourth Proportional to 188,167.14, 259,670.53 and 106,493.90

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Solution

The fourth proportional to 188,167.14, 259,670.53 and 106,493.90 is: 146,961.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,167.14 : 259,670.53 = 106,493.90 : x
  2. Step 2: Convert to fraction form
    188,167.14/259,670.53 = 106,493.90/x
  3. Step 3: Cross multiply
    188,167.14x = 259,670.53 × 106,493.90
  4. Step 4: Simplify right side
    188,167.14x = 27,653,327,454.77
  5. Step 5: Solve for x
    x = 27,653,327,454.77/188,167.14
  6. Step 6: Final answer
    x = 146,961.51

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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.