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Finding the Fourth Proportional to 242,231.10, 363,401.97 and 73,775.31

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Solution

The fourth proportional to 242,231.10, 363,401.97 and 73,775.31 is: 110,679.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,231.10 : 363,401.97 = 73,775.31 : x
  2. Step 2: Convert to fraction form
    242,231.10/363,401.97 = 73,775.31/x
  3. Step 3: Cross multiply
    242,231.10x = 363,401.97 × 73,775.31
  4. Step 4: Simplify right side
    242,231.10x = 26,810,092,991.36
  5. Step 5: Solve for x
    x = 26,810,092,991.36/242,231.10
  6. Step 6: Final answer
    x = 110,679.81

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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.