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Finding the Fourth Proportional to 188,111.34, 259,590.24 and 106,438.86

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Solution

The fourth proportional to 188,111.34, 259,590.24 and 106,438.86 is: 146,883.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,111.34 : 259,590.24 = 106,438.86 : x
  2. Step 2: Convert to fraction form
    188,111.34/259,590.24 = 106,438.86/x
  3. Step 3: Cross multiply
    188,111.34x = 259,590.24 × 106,438.86
  4. Step 4: Simplify right side
    188,111.34x = 27,630,489,212.73
  5. Step 5: Solve for x
    x = 27,630,489,212.73/188,111.34
  6. Step 6: Final answer
    x = 146,883.70

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.