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Finding the Fourth Proportional to 101,951.94, 140,694.60 and 59,502.24

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Solution

The fourth proportional to 101,951.94, 140,694.60 and 59,502.24 is: 82,113.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,951.94 : 140,694.60 = 59,502.24 : x
  2. Step 2: Convert to fraction form
    101,951.94/140,694.60 = 59,502.24/x
  3. Step 3: Cross multiply
    101,951.94x = 140,694.60 × 59,502.24
  4. Step 4: Simplify right side
    101,951.94x = 8,371,643,855.90
  5. Step 5: Solve for x
    x = 8,371,643,855.90/101,951.94
  6. Step 6: Final answer
    x = 82,113.63

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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.