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Finding the Fourth Proportional to 127,914.20, 191,761.88 and 49,085

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Solution

The fourth proportional to 127,914.20, 191,761.88 and 49,085 is: 73,585.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,914.20 : 191,761.88 = 49,085 : x
  2. Step 2: Convert to fraction form
    127,914.20/191,761.88 = 49,085/x
  3. Step 3: Cross multiply
    127,914.20x = 191,761.88 × 49,085
  4. Step 4: Simplify right side
    127,914.20x = 9,412,631,879.80
  5. Step 5: Solve for x
    x = 9,412,631,879.80/127,914.20
  6. Step 6: Final answer
    x = 73,585.51

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.