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Finding the Fourth Proportional to 135,453, 186,926.49 and 81,727.62

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Solution

The fourth proportional to 135,453, 186,926.49 and 81,727.62 is: 112,784.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,453 : 186,926.49 = 81,727.62 : x
  2. Step 2: Convert to fraction form
    135,453/186,926.49 = 81,727.62/x
  3. Step 3: Cross multiply
    135,453x = 186,926.49 × 81,727.62
  4. Step 4: Simplify right side
    135,453x = 15,277,057,142.65
  5. Step 5: Solve for x
    x = 15,277,057,142.65/135,453
  6. Step 6: Final answer
    x = 112,784.93

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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.