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Finding the Fourth Proportional to 123,778.13, 185,739.24 and 52,697.03

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Solution

The fourth proportional to 123,778.13, 185,739.24 and 52,697.03 is: 79,076.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,778.13 : 185,739.24 = 52,697.03 : x
  2. Step 2: Convert to fraction form
    123,778.13/185,739.24 = 52,697.03/x
  3. Step 3: Cross multiply
    123,778.13x = 185,739.24 × 52,697.03
  4. Step 4: Simplify right side
    123,778.13x = 9,787,906,302.46
  5. Step 5: Solve for x
    x = 9,787,906,302.46/123,778.13
  6. Step 6: Final answer
    x = 79,076.22

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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.