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Finding the Fourth Proportional to 242,076.42, 363,163.86 and 84,317.16

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Solution

The fourth proportional to 242,076.42, 363,163.86 and 84,317.16 is: 126,492.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,076.42 : 363,163.86 = 84,317.16 : x
  2. Step 2: Convert to fraction form
    242,076.42/363,163.86 = 84,317.16/x
  3. Step 3: Cross multiply
    242,076.42x = 363,163.86 × 84,317.16
  4. Step 4: Simplify right side
    242,076.42x = 30,620,945,289.84
  5. Step 5: Solve for x
    x = 30,620,945,289.84/242,076.42
  6. Step 6: Final answer
    x = 126,492.89

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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.