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Finding the Fourth Proportional to 127,877, 191,843.19 and 48,991.23

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Solution

The fourth proportional to 127,877, 191,843.19 and 48,991.23 is: 73,497.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,877 : 191,843.19 = 48,991.23 : x
  2. Step 2: Convert to fraction form
    127,877/191,843.19 = 48,991.23/x
  3. Step 3: Cross multiply
    127,877x = 191,843.19 × 48,991.23
  4. Step 4: Simplify right side
    127,877x = 9,398,633,845.22
  5. Step 5: Solve for x
    x = 9,398,633,845.22/127,877
  6. Step 6: Final answer
    x = 73,497.45

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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.