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Finding the Fourth Proportional to 120,571.72, 166,423.62 and 72,817

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Solution

The fourth proportional to 120,571.72, 166,423.62 and 72,817 is: 100,508.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,571.72 : 166,423.62 = 72,817 : x
  2. Step 2: Convert to fraction form
    120,571.72/166,423.62 = 72,817/x
  3. Step 3: Cross multiply
    120,571.72x = 166,423.62 × 72,817
  4. Step 4: Simplify right side
    120,571.72x = 12,118,468,737.54
  5. Step 5: Solve for x
    x = 12,118,468,737.54/120,571.72
  6. Step 6: Final answer
    x = 100,508.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.