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Finding the Fourth Proportional to 82,114.92, 122,932.47 and 74,235.64

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Solution

The fourth proportional to 82,114.92, 122,932.47 and 74,235.64 is: 111,136.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,114.92 : 122,932.47 = 74,235.64 : x
  2. Step 2: Convert to fraction form
    82,114.92/122,932.47 = 74,235.64/x
  3. Step 3: Cross multiply
    82,114.92x = 122,932.47 × 74,235.64
  4. Step 4: Simplify right side
    82,114.92x = 9,125,970,587.23
  5. Step 5: Solve for x
    x = 9,125,970,587.23/82,114.92
  6. Step 6: Final answer
    x = 111,136.57

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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.