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Finding the Fourth Proportional to 194,064, 291,096 and 53,822.63

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Solution

The fourth proportional to 194,064, 291,096 and 53,822.63 is: 80,733.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,064 : 291,096 = 53,822.63 : x
  2. Step 2: Convert to fraction form
    194,064/291,096 = 53,822.63/x
  3. Step 3: Cross multiply
    194,064x = 291,096 × 53,822.63
  4. Step 4: Simplify right side
    194,064x = 15,667,550,847
  5. Step 5: Solve for x
    x = 15,667,550,847/194,064
  6. Step 6: Final answer
    x = 80,733.94

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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.