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Finding the Fourth Proportional to 241,751.98, 362,627.97 and 75,539.98

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Solution

The fourth proportional to 241,751.98, 362,627.97 and 75,539.98 is: 113,309.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    241,751.98 : 362,627.97 = 75,539.98 : x
  2. Step 2: Convert to fraction form
    241,751.98/362,627.97 = 75,539.98/x
  3. Step 3: Cross multiply
    241,751.98x = 362,627.97 × 75,539.98
  4. Step 4: Simplify right side
    241,751.98x = 27,392,909,601.24
  5. Step 5: Solve for x
    x = 27,392,909,601.24/241,751.98
  6. Step 6: Final answer
    x = 113,309.97

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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.