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Finding the Fourth Proportional to 299,205.09, 412,894.06 and 163,241.73

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Solution

The fourth proportional to 299,205.09, 412,894.06 and 163,241.73 is: 225,268.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,205.09 : 412,894.06 = 163,241.73 : x
  2. Step 2: Convert to fraction form
    299,205.09/412,894.06 = 163,241.73/x
  3. Step 3: Cross multiply
    299,205.09x = 412,894.06 × 163,241.73
  4. Step 4: Simplify right side
    299,205.09x = 67,401,540,253.02
  5. Step 5: Solve for x
    x = 67,401,540,253.02/299,205.09
  6. Step 6: Final answer
    x = 225,268.70

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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.