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Finding the Fourth Proportional to 189,184.91, 283,769.15 and 47,027.18

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Solution

The fourth proportional to 189,184.91, 283,769.15 and 47,027.18 is: 70,538.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,184.91 : 283,769.15 = 47,027.18 : x
  2. Step 2: Convert to fraction form
    189,184.91/283,769.15 = 47,027.18/x
  3. Step 3: Cross multiply
    189,184.91x = 283,769.15 × 47,027.18
  4. Step 4: Simplify right side
    189,184.91x = 13,344,861,241.52
  5. Step 5: Solve for x
    x = 13,344,861,241.52/189,184.91
  6. Step 6: Final answer
    x = 70,538.72

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.