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Finding the Fourth Proportional to 241,297.13, 361,970.31 and 83,525.13

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Solution

The fourth proportional to 241,297.13, 361,970.31 and 83,525.13 is: 125,296.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    241,297.13 : 361,970.31 = 83,525.13 : x
  2. Step 2: Convert to fraction form
    241,297.13/361,970.31 = 83,525.13/x
  3. Step 3: Cross multiply
    241,297.13x = 361,970.31 × 83,525.13
  4. Step 4: Simplify right side
    241,297.13x = 30,233,617,198.89
  5. Step 5: Solve for x
    x = 30,233,617,198.89/241,297.13
  6. Step 6: Final answer
    x = 125,296.22

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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.