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Finding the Fourth Proportional to 242,544.68, 363,793.78 and 114,431.13

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Solution

The fourth proportional to 242,544.68, 363,793.78 and 114,431.13 is: 171,635.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,544.68 : 363,793.78 = 114,431.13 : x
  2. Step 2: Convert to fraction form
    242,544.68/363,793.78 = 114,431.13/x
  3. Step 3: Cross multiply
    242,544.68x = 363,793.78 × 114,431.13
  4. Step 4: Simplify right side
    242,544.68x = 41,629,333,475.41
  5. Step 5: Solve for x
    x = 41,629,333,475.41/242,544.68
  6. Step 6: Final answer
    x = 171,635.73

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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.