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Finding the Fourth Proportional to 140,915.60, 194,465.12 and 80,494.24

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Solution

The fourth proportional to 140,915.60, 194,465.12 and 80,494.24 is: 111,082.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,915.60 : 194,465.12 = 80,494.24 : x
  2. Step 2: Convert to fraction form
    140,915.60/194,465.12 = 80,494.24/x
  3. Step 3: Cross multiply
    140,915.60x = 194,465.12 × 80,494.24
  4. Step 4: Simplify right side
    140,915.60x = 15,653,322,040.91
  5. Step 5: Solve for x
    x = 15,653,322,040.91/140,915.60
  6. Step 6: Final answer
    x = 111,082.96

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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.