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Finding the Fourth Proportional to 329,993.01, 494,998.02 and 105,353.22

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Solution

The fourth proportional to 329,993.01, 494,998.02 and 105,353.22 is: 158,032.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    329,993.01 : 494,998.02 = 105,353.22 : x
  2. Step 2: Convert to fraction form
    329,993.01/494,998.02 = 105,353.22/x
  3. Step 3: Cross multiply
    329,993.01x = 494,998.02 × 105,353.22
  4. Step 4: Simplify right side
    329,993.01x = 52,149,635,300.62
  5. Step 5: Solve for x
    x = 52,149,635,300.62/329,993.01
  6. Step 6: Final answer
    x = 158,032.55

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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.