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Finding the Fourth Proportional to 241,009.68, 361,273.92 and 83,137.44

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Solution

The fourth proportional to 241,009.68, 361,273.92 and 83,137.44 is: 124,623.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    241,009.68 : 361,273.92 = 83,137.44 : x
  2. Step 2: Convert to fraction form
    241,009.68/361,273.92 = 83,137.44/x
  3. Step 3: Cross multiply
    241,009.68x = 361,273.92 × 83,137.44
  4. Step 4: Simplify right side
    241,009.68x = 30,035,388,847.56
  5. Step 5: Solve for x
    x = 30,035,388,847.56/241,009.68
  6. Step 6: Final answer
    x = 124,623.16

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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.