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Finding the Fourth Proportional to 230,216.18, 343,770.78 and 188,178.39

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Solution

The fourth proportional to 230,216.18, 343,770.78 and 188,178.39 is: 280,997.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,216.18 : 343,770.78 = 188,178.39 : x
  2. Step 2: Convert to fraction form
    230,216.18/343,770.78 = 188,178.39/x
  3. Step 3: Cross multiply
    230,216.18x = 343,770.78 × 188,178.39
  4. Step 4: Simplify right side
    230,216.18x = 64,690,232,615.11
  5. Step 5: Solve for x
    x = 64,690,232,615.11/230,216.18
  6. Step 6: Final answer
    x = 280,997.77

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.