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Finding the Fourth Proportional to 188,086.12, 259,561.24 and 102,045.72

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Solution

The fourth proportional to 188,086.12, 259,561.24 and 102,045.72 is: 140,824.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,086.12 : 259,561.24 = 102,045.72 : x
  2. Step 2: Convert to fraction form
    188,086.12/259,561.24 = 102,045.72/x
  3. Step 3: Cross multiply
    188,086.12x = 259,561.24 × 102,045.72
  4. Step 4: Simplify right side
    188,086.12x = 26,487,113,619.89
  5. Step 5: Solve for x
    x = 26,487,113,619.89/188,086.12
  6. Step 6: Final answer
    x = 140,824.39

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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.