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Finding the Fourth Proportional to 136,677.81, 204,837.80 and 73,424

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Solution

The fourth proportional to 136,677.81, 204,837.80 and 73,424 is: 110,039.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,677.81 : 204,837.80 = 73,424 : x
  2. Step 2: Convert to fraction form
    136,677.81/204,837.80 = 73,424/x
  3. Step 3: Cross multiply
    136,677.81x = 204,837.80 × 73,424
  4. Step 4: Simplify right side
    136,677.81x = 15,040,010,260.08
  5. Step 5: Solve for x
    x = 15,040,010,260.08/136,677.81
  6. Step 6: Final answer
    x = 110,039.89

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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.