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Finding the Fourth Proportional to 189,440.89, 283,915.29 and 76,990.25

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Solution

The fourth proportional to 189,440.89, 283,915.29 and 76,990.25 is: 115,385.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,440.89 : 283,915.29 = 76,990.25 : x
  2. Step 2: Convert to fraction form
    189,440.89/283,915.29 = 76,990.25/x
  3. Step 3: Cross multiply
    189,440.89x = 283,915.29 × 76,990.25
  4. Step 4: Simplify right side
    189,440.89x = 21,858,709,155.92
  5. Step 5: Solve for x
    x = 21,858,709,155.92/189,440.89
  6. Step 6: Final answer
    x = 115,385.38

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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.