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Finding the Fourth Proportional to 188,234.78, 259,764.16 and 102,193.70

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Solution

The fourth proportional to 188,234.78, 259,764.16 and 102,193.70 is: 141,027.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,234.78 : 259,764.16 = 102,193.70 : x
  2. Step 2: Convert to fraction form
    188,234.78/259,764.16 = 102,193.70/x
  3. Step 3: Cross multiply
    188,234.78x = 259,764.16 × 102,193.70
  4. Step 4: Simplify right side
    188,234.78x = 26,546,260,637.79
  5. Step 5: Solve for x
    x = 26,546,260,637.79/188,234.78
  6. Step 6: Final answer
    x = 141,027.39

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1.5x scale

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.