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Finding the Fourth Proportional to 241,192.24, 361,843.48 and 83,420.53

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Solution

The fourth proportional to 241,192.24, 361,843.48 and 83,420.53 is: 125,149.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    241,192.24 : 361,843.48 = 83,420.53 : x
  2. Step 2: Convert to fraction form
    241,192.24/361,843.48 = 83,420.53/x
  3. Step 3: Cross multiply
    241,192.24x = 361,843.48 × 83,420.53
  4. Step 4: Simplify right side
    241,192.24x = 30,185,174,878.64
  5. Step 5: Solve for x
    x = 30,185,174,878.64/241,192.24
  6. Step 6: Final answer
    x = 125,149.86

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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.