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Finding the Fourth Proportional to 242,209.50, 363,372.60 and 75,997.50

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Solution

The fourth proportional to 242,209.50, 363,372.60 and 75,997.50 is: 114,014.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,209.50 : 363,372.60 = 75,997.50 : x
  2. Step 2: Convert to fraction form
    242,209.50/363,372.60 = 75,997.50/x
  3. Step 3: Cross multiply
    242,209.50x = 363,372.60 × 75,997.50
  4. Step 4: Simplify right side
    242,209.50x = 27,615,409,168.50
  5. Step 5: Solve for x
    x = 27,615,409,168.50/242,209.50
  6. Step 6: Final answer
    x = 114,014.56

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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.