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Finding the Fourth Proportional to 189,227.48, 283,847.93 and 47,073.50

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Solution

The fourth proportional to 189,227.48, 283,847.93 and 47,073.50 is: 70,611.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,227.48 : 283,847.93 = 47,073.50 : x
  2. Step 2: Convert to fraction form
    189,227.48/283,847.93 = 47,073.50/x
  3. Step 3: Cross multiply
    189,227.48x = 283,847.93 × 47,073.50
  4. Step 4: Simplify right side
    189,227.48x = 13,361,715,532.86
  5. Step 5: Solve for x
    x = 13,361,715,532.86/189,227.48
  6. Step 6: Final answer
    x = 70,611.92

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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.