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Finding the Fourth Proportional to 101,740.86, 140,407.83 and 59,296.86

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Solution

The fourth proportional to 101,740.86, 140,407.83 and 59,296.86 is: 81,832.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,740.86 : 140,407.83 = 59,296.86 : x
  2. Step 2: Convert to fraction form
    101,740.86/140,407.83 = 59,296.86/x
  3. Step 3: Cross multiply
    101,740.86x = 140,407.83 × 59,296.86
  4. Step 4: Simplify right side
    101,740.86x = 8,325,743,438.41
  5. Step 5: Solve for x
    x = 8,325,743,438.41/101,740.86
  6. Step 6: Final answer
    x = 81,832.84

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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.