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Finding the Fourth Proportional to 299,150.72, 412,835.78 and 163,186.96

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Solution

The fourth proportional to 299,150.72, 412,835.78 and 163,186.96 is: 225,202.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,150.72 : 412,835.78 = 163,186.96 : x
  2. Step 2: Convert to fraction form
    299,150.72/412,835.78 = 163,186.96/x
  3. Step 3: Cross multiply
    299,150.72x = 412,835.78 × 163,186.96
  4. Step 4: Simplify right side
    299,150.72x = 67,369,415,917.43
  5. Step 5: Solve for x
    x = 67,369,415,917.43/299,150.72
  6. Step 6: Final answer
    x = 225,202.25

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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.