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Finding the Fourth Proportional to 241,764, 362,658.96 and 75,564.96

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Solution

The fourth proportional to 241,764, 362,658.96 and 75,564.96 is: 113,351.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    241,764 : 362,658.96 = 75,564.96 : x
  2. Step 2: Convert to fraction form
    241,764/362,658.96 = 75,564.96/x
  3. Step 3: Cross multiply
    241,764x = 362,658.96 × 75,564.96
  4. Step 4: Simplify right side
    241,764x = 27,404,309,806.04
  5. Step 5: Solve for x
    x = 27,404,309,806.04/241,764
  6. Step 6: Final answer
    x = 113,351.49

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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.