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Finding the Fourth Proportional to 275,371.65, 413,024.67 and 75,712.32

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Solution

The fourth proportional to 275,371.65, 413,024.67 and 75,712.32 is: 113,559.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,371.65 : 413,024.67 = 75,712.32 : x
  2. Step 2: Convert to fraction form
    275,371.65/413,024.67 = 75,712.32/x
  3. Step 3: Cross multiply
    275,371.65x = 413,024.67 × 75,712.32
  4. Step 4: Simplify right side
    275,371.65x = 31,271,055,982.93
  5. Step 5: Solve for x
    x = 31,271,055,982.93/275,371.65
  6. Step 6: Final answer
    x = 113,559.46

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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.