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Finding the Fourth Proportional to 230,091.40, 317,464.14 and 134,621.56

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Solution

The fourth proportional to 230,091.40, 317,464.14 and 134,621.56 is: 185,741.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,091.40 : 317,464.14 = 134,621.56 : x
  2. Step 2: Convert to fraction form
    230,091.40/317,464.14 = 134,621.56/x
  3. Step 3: Cross multiply
    230,091.40x = 317,464.14 × 134,621.56
  4. Step 4: Simplify right side
    230,091.40x = 42,737,517,770.86
  5. Step 5: Solve for x
    x = 42,737,517,770.86/230,091.40
  6. Step 6: Final answer
    x = 185,741.48

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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.