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Finding the Fourth Proportional to 189,527.42, 284,321.92 and 71,208.30

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Solution

The fourth proportional to 189,527.42, 284,321.92 and 71,208.30 is: 106,824.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,527.42 : 284,321.92 = 71,208.30 : x
  2. Step 2: Convert to fraction form
    189,527.42/284,321.92 = 71,208.30/x
  3. Step 3: Cross multiply
    189,527.42x = 284,321.92 × 71,208.30
  4. Step 4: Simplify right side
    189,527.42x = 20,246,080,575.94
  5. Step 5: Solve for x
    x = 20,246,080,575.94/189,527.42
  6. Step 6: Final answer
    x = 106,824.02

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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.