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Finding the Fourth Proportional to 194,847.75, 292,280.13 and 61,737.82

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Solution

The fourth proportional to 194,847.75, 292,280.13 and 61,737.82 is: 92,609.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,847.75 : 292,280.13 = 61,737.82 : x
  2. Step 2: Convert to fraction form
    194,847.75/292,280.13 = 61,737.82/x
  3. Step 3: Cross multiply
    194,847.75x = 292,280.13 × 61,737.82
  4. Step 4: Simplify right side
    194,847.75x = 18,044,737,324.82
  5. Step 5: Solve for x
    x = 18,044,737,324.82/194,847.75
  6. Step 6: Final answer
    x = 92,609.42

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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.