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Finding the Fourth Proportional to 138,414.96, 190,998.96 and 77,996.34

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Solution

The fourth proportional to 138,414.96, 190,998.96 and 77,996.34 is: 107,627.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,414.96 : 190,998.96 = 77,996.34 : x
  2. Step 2: Convert to fraction form
    138,414.96/190,998.96 = 77,996.34/x
  3. Step 3: Cross multiply
    138,414.96x = 190,998.96 × 77,996.34
  4. Step 4: Simplify right side
    138,414.96x = 14,897,219,823.81
  5. Step 5: Solve for x
    x = 14,897,219,823.81/138,414.96
  6. Step 6: Final answer
    x = 107,627.24

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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.