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Finding the Fourth Proportional to 82,111.80, 122,937.30 and 79,807.80

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Solution

The fourth proportional to 82,111.80, 122,937.30 and 79,807.80 is: 119,487.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,111.80 : 122,937.30 = 79,807.80 : x
  2. Step 2: Convert to fraction form
    82,111.80/122,937.30 = 79,807.80/x
  3. Step 3: Cross multiply
    82,111.80x = 122,937.30 × 79,807.80
  4. Step 4: Simplify right side
    82,111.80x = 9,811,355,450.94
  5. Step 5: Solve for x
    x = 9,811,355,450.94/82,111.80
  6. Step 6: Final answer
    x = 119,487.76

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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.