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Finding the Fourth Proportional to 211,016.42, 291,230.39 and 120,351.60

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Solution

The fourth proportional to 211,016.42, 291,230.39 and 120,351.60 is: 166,101.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,016.42 : 291,230.39 = 120,351.60 : x
  2. Step 2: Convert to fraction form
    211,016.42/291,230.39 = 120,351.60/x
  3. Step 3: Cross multiply
    211,016.42x = 291,230.39 × 120,351.60
  4. Step 4: Simplify right side
    211,016.42x = 35,050,042,803.37
  5. Step 5: Solve for x
    x = 35,050,042,803.37/211,016.42
  6. Step 6: Final answer
    x = 166,101.02

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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.