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Finding the Fourth Proportional to 299,728.23, 413,620.13 and 163,759.26

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Solution

The fourth proportional to 299,728.23, 413,620.13 and 163,759.26 is: 225,985.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,728.23 : 413,620.13 = 163,759.26 : x
  2. Step 2: Convert to fraction form
    299,728.23/413,620.13 = 163,759.26/x
  3. Step 3: Cross multiply
    299,728.23x = 413,620.13 × 163,759.26
  4. Step 4: Simplify right side
    299,728.23x = 67,734,126,043.76
  5. Step 5: Solve for x
    x = 67,734,126,043.76/299,728.23
  6. Step 6: Final answer
    x = 225,985.14

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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.