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Finding the Fourth Proportional to 189,242.10, 283,857 and 76,889.10

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Solution

The fourth proportional to 189,242.10, 283,857 and 76,889.10 is: 115,331.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,242.10 : 283,857 = 76,889.10 : x
  2. Step 2: Convert to fraction form
    189,242.10/283,857 = 76,889.10/x
  3. Step 3: Cross multiply
    189,242.10x = 283,857 × 76,889.10
  4. Step 4: Simplify right side
    189,242.10x = 21,825,509,258.70
  5. Step 5: Solve for x
    x = 21,825,509,258.70/189,242.10
  6. Step 6: Final answer
    x = 115,331.15

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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.