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Finding the Fourth Proportional to 101,612.94, 140,233.24 and 61,336.50

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Solution

The fourth proportional to 101,612.94, 140,233.24 and 61,336.50 is: 84,648.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,612.94 : 140,233.24 = 61,336.50 : x
  2. Step 2: Convert to fraction form
    101,612.94/140,233.24 = 61,336.50/x
  3. Step 3: Cross multiply
    101,612.94x = 140,233.24 × 61,336.50
  4. Step 4: Simplify right side
    101,612.94x = 8,601,416,125.26
  5. Step 5: Solve for x
    x = 8,601,416,125.26/101,612.94
  6. Step 6: Final answer
    x = 84,648.83

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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.