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Finding the Fourth Proportional to 138,224.96, 190,760.09 and 77,801.39

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Solution

The fourth proportional to 138,224.96, 190,760.09 and 77,801.39 is: 107,371.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,224.96 : 190,760.09 = 77,801.39 : x
  2. Step 2: Convert to fraction form
    138,224.96/190,760.09 = 77,801.39/x
  3. Step 3: Cross multiply
    138,224.96x = 190,760.09 × 77,801.39
  4. Step 4: Simplify right side
    138,224.96x = 14,841,398,815.72
  5. Step 5: Solve for x
    x = 14,841,398,815.72/138,224.96
  6. Step 6: Final answer
    x = 107,371.34

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.