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Finding the Fourth Proportional to 194,087.28, 291,129.30 and 53,845.92

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Solution

The fourth proportional to 194,087.28, 291,129.30 and 53,845.92 is: 80,768.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,087.28 : 291,129.30 = 53,845.92 : x
  2. Step 2: Convert to fraction form
    194,087.28/291,129.30 = 53,845.92/x
  3. Step 3: Cross multiply
    194,087.28x = 291,129.30 × 53,845.92
  4. Step 4: Simplify right side
    194,087.28x = 15,676,124,997.46
  5. Step 5: Solve for x
    x = 15,676,124,997.46/194,087.28
  6. Step 6: Final answer
    x = 80,768.43

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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.