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Finding the Fourth Proportional to 242,163.34, 363,241.36 and 108,949.52

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Solution

The fourth proportional to 242,163.34, 363,241.36 and 108,949.52 is: 163,422.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,163.34 : 363,241.36 = 108,949.52 : x
  2. Step 2: Convert to fraction form
    242,163.34/363,241.36 = 108,949.52/x
  3. Step 3: Cross multiply
    242,163.34x = 363,241.36 × 108,949.52
  4. Step 4: Simplify right side
    242,163.34x = 39,574,971,816.15
  5. Step 5: Solve for x
    x = 39,574,971,816.15/242,163.34
  6. Step 6: Final answer
    x = 163,422.64

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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.