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Finding the Fourth Proportional to 194,914.80, 292,372.20 and 54,697.20

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Solution

The fourth proportional to 194,914.80, 292,372.20 and 54,697.20 is: 82,045.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,914.80 : 292,372.20 = 54,697.20 : x
  2. Step 2: Convert to fraction form
    194,914.80/292,372.20 = 54,697.20/x
  3. Step 3: Cross multiply
    194,914.80x = 292,372.20 × 54,697.20
  4. Step 4: Simplify right side
    194,914.80x = 15,991,940,697.84
  5. Step 5: Solve for x
    x = 15,991,940,697.84/194,914.80
  6. Step 6: Final answer
    x = 82,045.80

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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.