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Finding the Fourth Proportional to 185,163, 277,757.50 and 74,355

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Solution

The fourth proportional to 185,163, 277,757.50 and 74,355 is: 111,537.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,163 : 277,757.50 = 74,355 : x
  2. Step 2: Convert to fraction form
    185,163/277,757.50 = 74,355/x
  3. Step 3: Cross multiply
    185,163x = 277,757.50 × 74,355
  4. Step 4: Simplify right side
    185,163x = 20,652,658,912.50
  5. Step 5: Solve for x
    x = 20,652,658,912.50/185,163
  6. Step 6: Final answer
    x = 111,537.72

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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.