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Finding the Fourth Proportional to 299,729.23, 413,621.51 and 163,760.26

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Solution

The fourth proportional to 299,729.23, 413,621.51 and 163,760.26 is: 225,986.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,729.23 : 413,621.51 = 163,760.26 : x
  2. Step 2: Convert to fraction form
    299,729.23/413,621.51 = 163,760.26/x
  3. Step 3: Cross multiply
    299,729.23x = 413,621.51 × 163,760.26
  4. Step 4: Simplify right side
    299,729.23x = 67,734,766,019.19
  5. Step 5: Solve for x
    x = 67,734,766,019.19/299,729.23
  6. Step 6: Final answer
    x = 225,986.52

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.