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Finding the Fourth Proportional to 241,539.82, 362,309.75 and 75,327.82

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Solution

The fourth proportional to 241,539.82, 362,309.75 and 75,327.82 is: 112,991.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    241,539.82 : 362,309.75 = 75,327.82 : x
  2. Step 2: Convert to fraction form
    241,539.82/362,309.75 = 75,327.82/x
  3. Step 3: Cross multiply
    241,539.82x = 362,309.75 × 75,327.82
  4. Step 4: Simplify right side
    241,539.82x = 27,292,003,632.25
  5. Step 5: Solve for x
    x = 27,292,003,632.25/241,539.82
  6. Step 6: Final answer
    x = 112,991.74

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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.