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Finding the Fourth Proportional to 275,448.93, 413,175.21 and 75,790.41

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Solution

The fourth proportional to 275,448.93, 413,175.21 and 75,790.41 is: 113,686.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,448.93 : 413,175.21 = 75,790.41 : x
  2. Step 2: Convert to fraction form
    275,448.93/413,175.21 = 75,790.41/x
  3. Step 3: Cross multiply
    275,448.93x = 413,175.21 × 75,790.41
  4. Step 4: Simplify right side
    275,448.93x = 31,314,718,567.74
  5. Step 5: Solve for x
    x = 31,314,718,567.74/275,448.93
  6. Step 6: Final answer
    x = 113,686.11

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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.