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Finding the Fourth Proportional to 299,046.36, 412,689.42 and 163,081.92

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Solution

The fourth proportional to 299,046.36, 412,689.42 and 163,081.92 is: 225,056.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,046.36 : 412,689.42 = 163,081.92 : x
  2. Step 2: Convert to fraction form
    299,046.36/412,689.42 = 163,081.92/x
  3. Step 3: Cross multiply
    299,046.36x = 412,689.42 × 163,081.92
  4. Step 4: Simplify right side
    299,046.36x = 67,302,182,977.29
  5. Step 5: Solve for x
    x = 67,302,182,977.29/299,046.36
  6. Step 6: Final answer
    x = 225,056.02

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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.