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Finding the Fourth Proportional to 189,612.30, 284,366.61 and 71,274.54

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Solution

The fourth proportional to 189,612.30, 284,366.61 and 71,274.54 is: 106,892.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,612.30 : 284,366.61 = 71,274.54 : x
  2. Step 2: Convert to fraction form
    189,612.30/284,366.61 = 71,274.54/x
  3. Step 3: Cross multiply
    189,612.30x = 284,366.61 × 71,274.54
  4. Step 4: Simplify right side
    189,612.30x = 20,268,099,319.11
  5. Step 5: Solve for x
    x = 20,268,099,319.11/189,612.30
  6. Step 6: Final answer
    x = 106,892.32

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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.