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Finding the Fourth Proportional to 82,111.92, 122,927.97 and 74,232.64

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Solution

The fourth proportional to 82,111.92, 122,927.97 and 74,232.64 is: 111,132.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,111.92 : 122,927.97 = 74,232.64 : x
  2. Step 2: Convert to fraction form
    82,111.92/122,927.97 = 74,232.64/x
  3. Step 3: Cross multiply
    82,111.92x = 122,927.97 × 74,232.64
  4. Step 4: Simplify right side
    82,111.92x = 9,125,267,742.94
  5. Step 5: Solve for x
    x = 9,125,267,742.94/82,111.92
  6. Step 6: Final answer
    x = 111,132.07

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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.