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Finding the Fourth Proportional to 299,722.09, 413,611.64 and 163,753.11

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Solution

The fourth proportional to 299,722.09, 413,611.64 and 163,753.11 is: 225,976.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,722.09 : 413,611.64 = 163,753.11 : x
  2. Step 2: Convert to fraction form
    299,722.09/413,611.64 = 163,753.11/x
  3. Step 3: Cross multiply
    299,722.09x = 413,611.64 × 163,753.11
  4. Step 4: Simplify right side
    299,722.09x = 67,730,192,382.20
  5. Step 5: Solve for x
    x = 67,730,192,382.20/299,722.09
  6. Step 6: Final answer
    x = 225,976.65

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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.