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Finding the Fourth Proportional to 101,594.66, 140,170.30 and 65,727.86

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Solution

The fourth proportional to 101,594.66, 140,170.30 and 65,727.86 is: 90,684.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,594.66 : 140,170.30 = 65,727.86 : x
  2. Step 2: Convert to fraction form
    101,594.66/140,170.30 = 65,727.86/x
  3. Step 3: Cross multiply
    101,594.66x = 140,170.30 × 65,727.86
  4. Step 4: Simplify right side
    101,594.66x = 9,213,092,989.39
  5. Step 5: Solve for x
    x = 9,213,092,989.39/101,594.66
  6. Step 6: Final answer
    x = 90,684.82

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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.