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Finding the Fourth Proportional to 194,087.76, 291,131.76 and 53,846.52

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Solution

The fourth proportional to 194,087.76, 291,131.76 and 53,846.52 is: 80,769.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,087.76 : 291,131.76 = 53,846.52 : x
  2. Step 2: Convert to fraction form
    194,087.76/291,131.76 = 53,846.52/x
  3. Step 3: Cross multiply
    194,087.76x = 291,131.76 × 53,846.52
  4. Step 4: Simplify right side
    194,087.76x = 15,676,432,137.48
  5. Step 5: Solve for x
    x = 15,676,432,137.48/194,087.76
  6. Step 6: Final answer
    x = 80,769.81

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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.