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Finding the Fourth Proportional to 275,241.39, 412,862.73 and 75,564.51

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Solution

The fourth proportional to 275,241.39, 412,862.73 and 75,564.51 is: 113,346.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,241.39 : 412,862.73 = 75,564.51 : x
  2. Step 2: Convert to fraction form
    275,241.39/412,862.73 = 75,564.51/x
  3. Step 3: Cross multiply
    275,241.39x = 412,862.73 × 75,564.51
  4. Step 4: Simplify right side
    275,241.39x = 31,197,769,889.71
  5. Step 5: Solve for x
    x = 31,197,769,889.71/275,241.39
  6. Step 6: Final answer
    x = 113,346.94

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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.