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Finding the Fourth Proportional to 127,431, 191,234.25 and 44,325

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Solution

The fourth proportional to 127,431, 191,234.25 and 44,325 is: 66,518.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,431 : 191,234.25 = 44,325 : x
  2. Step 2: Convert to fraction form
    127,431/191,234.25 = 44,325/x
  3. Step 3: Cross multiply
    127,431x = 191,234.25 × 44,325
  4. Step 4: Simplify right side
    127,431x = 8,476,458,131.25
  5. Step 5: Solve for x
    x = 8,476,458,131.25/127,431
  6. Step 6: Final answer
    x = 66,518.02

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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.