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Finding the Fourth Proportional to 211,069.06, 291,248.26 and 120,419.80

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Solution

The fourth proportional to 211,069.06, 291,248.26 and 120,419.80 is: 166,163.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,069.06 : 291,248.26 = 120,419.80 : x
  2. Step 2: Convert to fraction form
    211,069.06/291,248.26 = 120,419.80/x
  3. Step 3: Cross multiply
    211,069.06x = 291,248.26 × 120,419.80
  4. Step 4: Simplify right side
    211,069.06x = 35,072,057,219.55
  5. Step 5: Solve for x
    x = 35,072,057,219.55/211,069.06
  6. Step 6: Final answer
    x = 166,163.90

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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.