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Finding the Fourth Proportional to 82,264.36, 123,380.94 and 40,102.07

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Solution

The fourth proportional to 82,264.36, 123,380.94 and 40,102.07 is: 60,145.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,264.36 : 123,380.94 = 40,102.07 : x
  2. Step 2: Convert to fraction form
    82,264.36/123,380.94 = 40,102.07/x
  3. Step 3: Cross multiply
    82,264.36x = 123,380.94 × 40,102.07
  4. Step 4: Simplify right side
    82,264.36x = 4,947,831,092.55
  5. Step 5: Solve for x
    x = 4,947,831,092.55/82,264.36
  6. Step 6: Final answer
    x = 60,145.50

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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.