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Finding the Fourth Proportional to 149,186.96, 205,882.44 and 91,859.35

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Solution

The fourth proportional to 149,186.96, 205,882.44 and 91,859.35 is: 126,768.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,186.96 : 205,882.44 = 91,859.35 : x
  2. Step 2: Convert to fraction form
    149,186.96/205,882.44 = 91,859.35/x
  3. Step 3: Cross multiply
    149,186.96x = 205,882.44 × 91,859.35
  4. Step 4: Simplify right side
    149,186.96x = 18,912,226,655.52
  5. Step 5: Solve for x
    x = 18,912,226,655.52/149,186.96
  6. Step 6: Final answer
    x = 126,768.64

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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.