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Finding the Fourth Proportional to 211,589.85, 291,993.96 and 120,947.76

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Solution

The fourth proportional to 211,589.85, 291,993.96 and 120,947.76 is: 166,907.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,589.85 : 291,993.96 = 120,947.76 : x
  2. Step 2: Convert to fraction form
    211,589.85/291,993.96 = 120,947.76/x
  3. Step 3: Cross multiply
    211,589.85x = 291,993.96 × 120,947.76
  4. Step 4: Simplify right side
    211,589.85x = 35,316,015,395.53
  5. Step 5: Solve for x
    x = 35,316,015,395.53/211,589.85
  6. Step 6: Final answer
    x = 166,907.89

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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.