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Finding the Fourth Proportional to 199,551.60, 299,327.40 and 164,122.20

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Solution

The fourth proportional to 199,551.60, 299,327.40 and 164,122.20 is: 246,183.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,551.60 : 299,327.40 = 164,122.20 : x
  2. Step 2: Convert to fraction form
    199,551.60/299,327.40 = 164,122.20/x
  3. Step 3: Cross multiply
    199,551.60x = 299,327.40 × 164,122.20
  4. Step 4: Simplify right side
    199,551.60x = 49,126,271,408.28
  5. Step 5: Solve for x
    x = 49,126,271,408.28/199,551.60
  6. Step 6: Final answer
    x = 246,183.30

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.