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Finding the Fourth Proportional to 194,930.80, 292,396.20 and 54,713.20

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Solution

The fourth proportional to 194,930.80, 292,396.20 and 54,713.20 is: 82,069.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,930.80 : 292,396.20 = 54,713.20 : x
  2. Step 2: Convert to fraction form
    194,930.80/292,396.20 = 54,713.20/x
  3. Step 3: Cross multiply
    194,930.80x = 292,396.20 × 54,713.20
  4. Step 4: Simplify right side
    194,930.80x = 15,997,931,769.84
  5. Step 5: Solve for x
    x = 15,997,931,769.84/194,930.80
  6. Step 6: Final answer
    x = 82,069.80

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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.