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Finding the Fourth Proportional to 241,013.57, 361,561.35 and 83,205.11

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Solution

The fourth proportional to 241,013.57, 361,561.35 and 83,205.11 is: 124,821.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    241,013.57 : 361,561.35 = 83,205.11 : x
  2. Step 2: Convert to fraction form
    241,013.57/361,561.35 = 83,205.11/x
  3. Step 3: Cross multiply
    241,013.57x = 361,561.35 × 83,205.11
  4. Step 4: Simplify right side
    241,013.57x = 30,083,750,090.69
  5. Step 5: Solve for x
    x = 30,083,750,090.69/241,013.57
  6. Step 6: Final answer
    x = 124,821.81

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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.