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Finding the Fourth Proportional to 211,003.97, 291,174.96 and 120,356.56

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Solution

The fourth proportional to 211,003.97, 291,174.96 and 120,356.56 is: 166,086.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,003.97 : 291,174.96 = 120,356.56 : x
  2. Step 2: Convert to fraction form
    211,003.97/291,174.96 = 120,356.56/x
  3. Step 3: Cross multiply
    211,003.97x = 291,174.96 × 120,356.56
  4. Step 4: Simplify right side
    211,003.97x = 35,044,817,359.04
  5. Step 5: Solve for x
    x = 35,044,817,359.04/211,003.97
  6. Step 6: Final answer
    x = 166,086.06

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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.