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Finding the Fourth Proportional to 242,629.96, 363,978.96 and 84,822.52

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Solution

The fourth proportional to 242,629.96, 363,978.96 and 84,822.52 is: 127,245.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,629.96 : 363,978.96 = 84,822.52 : x
  2. Step 2: Convert to fraction form
    242,629.96/363,978.96 = 84,822.52/x
  3. Step 3: Cross multiply
    242,629.96x = 363,978.96 × 84,822.52
  4. Step 4: Simplify right side
    242,629.96x = 30,873,612,614.18
  5. Step 5: Solve for x
    x = 30,873,612,614.18/242,629.96
  6. Step 6: Final answer
    x = 127,245.67

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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.