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Finding the Fourth Proportional to 241,757.84, 362,704.80 and 84,002.24

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Solution

The fourth proportional to 241,757.84, 362,704.80 and 84,002.24 is: 126,027.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    241,757.84 : 362,704.80 = 84,002.24 : x
  2. Step 2: Convert to fraction form
    241,757.84/362,704.80 = 84,002.24/x
  3. Step 3: Cross multiply
    241,757.84x = 362,704.80 × 84,002.24
  4. Step 4: Simplify right side
    241,757.84x = 30,468,015,658.75
  5. Step 5: Solve for x
    x = 30,468,015,658.75/241,757.84
  6. Step 6: Final answer
    x = 126,027.00

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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.