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Finding the Fourth Proportional to 154,414.26, 231,464.04 and 65,611.14

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Solution

The fourth proportional to 154,414.26, 231,464.04 and 65,611.14 is: 98,349.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,414.26 : 231,464.04 = 65,611.14 : x
  2. Step 2: Convert to fraction form
    154,414.26/231,464.04 = 65,611.14/x
  3. Step 3: Cross multiply
    154,414.26x = 231,464.04 × 65,611.14
  4. Step 4: Simplify right side
    154,414.26x = 15,186,619,533.41
  5. Step 5: Solve for x
    x = 15,186,619,533.41/154,414.26
  6. Step 6: Final answer
    x = 98,349.85

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.