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Finding the Fourth Proportional to 211,589.21, 291,993.11 and 120,947.13

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Solution

The fourth proportional to 211,589.21, 291,993.11 and 120,947.13 is: 166,907.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,589.21 : 291,993.11 = 120,947.13 : x
  2. Step 2: Convert to fraction form
    211,589.21/291,993.11 = 120,947.13/x
  3. Step 3: Cross multiply
    211,589.21x = 291,993.11 × 120,947.13
  4. Step 4: Simplify right side
    211,589.21x = 35,315,729,275.70
  5. Step 5: Solve for x
    x = 35,315,729,275.70/211,589.21
  6. Step 6: Final answer
    x = 166,907.05

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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.