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Finding the Fourth Proportional to 188,200.52, 259,715.60 and 102,161.22

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Solution

The fourth proportional to 188,200.52, 259,715.60 and 102,161.22 is: 140,981.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,200.52 : 259,715.60 = 102,161.22 : x
  2. Step 2: Convert to fraction form
    188,200.52/259,715.60 = 102,161.22/x
  3. Step 3: Cross multiply
    188,200.52x = 259,715.60 × 102,161.22
  4. Step 4: Simplify right side
    188,200.52x = 26,532,862,549.03
  5. Step 5: Solve for x
    x = 26,532,862,549.03/188,200.52
  6. Step 6: Final answer
    x = 140,981.88

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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.