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Finding the Fourth Proportional to 199,825.33, 299,851.35 and 73,449.13

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Solution

The fourth proportional to 199,825.33, 299,851.35 and 73,449.13 is: 110,215.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,825.33 : 299,851.35 = 73,449.13 : x
  2. Step 2: Convert to fraction form
    199,825.33/299,851.35 = 73,449.13/x
  3. Step 3: Cross multiply
    199,825.33x = 299,851.35 × 73,449.13
  4. Step 4: Simplify right side
    199,825.33x = 22,023,820,786.83
  5. Step 5: Solve for x
    x = 22,023,820,786.83/199,825.33
  6. Step 6: Final answer
    x = 110,215.36

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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.