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Finding the Fourth Proportional to 188,254.66, 259,789.56 and 102,211.75

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Solution

The fourth proportional to 188,254.66, 259,789.56 and 102,211.75 is: 141,051.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,254.66 : 259,789.56 = 102,211.75 : x
  2. Step 2: Convert to fraction form
    188,254.66/259,789.56 = 102,211.75/x
  3. Step 3: Cross multiply
    188,254.66x = 259,789.56 × 102,211.75
  4. Step 4: Simplify right side
    188,254.66x = 26,553,545,559.33
  5. Step 5: Solve for x
    x = 26,553,545,559.33/188,254.66
  6. Step 6: Final answer
    x = 141,051.20

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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.