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Finding the Fourth Proportional to 194,512.38, 291,768.56 and 54,271

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Solution

The fourth proportional to 194,512.38, 291,768.56 and 54,271 is: 81,406.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,512.38 : 291,768.56 = 54,271 : x
  2. Step 2: Convert to fraction form
    194,512.38/291,768.56 = 54,271/x
  3. Step 3: Cross multiply
    194,512.38x = 291,768.56 × 54,271
  4. Step 4: Simplify right side
    194,512.38x = 15,834,571,519.76
  5. Step 5: Solve for x
    x = 15,834,571,519.76/194,512.38
  6. Step 6: Final answer
    x = 81,406.50

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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.