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Finding the Fourth Proportional to 200,716.56, 277,001.10 and 115,839.09

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Solution

The fourth proportional to 200,716.56, 277,001.10 and 115,839.09 is: 159,865.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,716.56 : 277,001.10 = 115,839.09 : x
  2. Step 2: Convert to fraction form
    200,716.56/277,001.10 = 115,839.09/x
  3. Step 3: Cross multiply
    200,716.56x = 277,001.10 × 115,839.09
  4. Step 4: Simplify right side
    200,716.56x = 32,087,555,353.00
  5. Step 5: Solve for x
    x = 32,087,555,353.00/200,716.56
  6. Step 6: Final answer
    x = 159,865.01

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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.