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Finding the Fourth Proportional to 135,335.29, 186,809.38 and 77,997.50

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Solution

The fourth proportional to 135,335.29, 186,809.38 and 77,997.50 is: 107,663.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,335.29 : 186,809.38 = 77,997.50 : x
  2. Step 2: Convert to fraction form
    135,335.29/186,809.38 = 77,997.50/x
  3. Step 3: Cross multiply
    135,335.29x = 186,809.38 × 77,997.50
  4. Step 4: Simplify right side
    135,335.29x = 14,570,665,557.07
  5. Step 5: Solve for x
    x = 14,570,665,557.07/135,335.29
  6. Step 6: Final answer
    x = 107,663.46

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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.