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Finding the Fourth Proportional to 196,991.32, 295,462.08 and 54,847.30

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Solution

The fourth proportional to 196,991.32, 295,462.08 and 54,847.30 is: 82,264.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,991.32 : 295,462.08 = 54,847.30 : x
  2. Step 2: Convert to fraction form
    196,991.32/295,462.08 = 54,847.30/x
  3. Step 3: Cross multiply
    196,991.32x = 295,462.08 × 54,847.30
  4. Step 4: Simplify right side
    196,991.32x = 16,205,297,340.38
  5. Step 5: Solve for x
    x = 16,205,297,340.38/196,991.32
  6. Step 6: Final answer
    x = 82,264.02

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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.