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Finding the Fourth Proportional to 138,224.45, 190,755.87 and 77,799

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Solution

The fourth proportional to 138,224.45, 190,755.87 and 77,799 is: 107,366.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,224.45 : 190,755.87 = 77,799 : x
  2. Step 2: Convert to fraction form
    138,224.45/190,755.87 = 77,799/x
  3. Step 3: Cross multiply
    138,224.45x = 190,755.87 × 77,799
  4. Step 4: Simplify right side
    138,224.45x = 14,840,615,930.13
  5. Step 5: Solve for x
    x = 14,840,615,930.13/138,224.45
  6. Step 6: Final answer
    x = 107,366.07

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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.