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Finding the Fourth Proportional to 211,181.31, 291,357.36 and 120,471.84

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Solution

The fourth proportional to 211,181.31, 291,357.36 and 120,471.84 is: 166,209.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,181.31 : 291,357.36 = 120,471.84 : x
  2. Step 2: Convert to fraction form
    211,181.31/291,357.36 = 120,471.84/x
  3. Step 3: Cross multiply
    211,181.31x = 291,357.36 × 120,471.84
  4. Step 4: Simplify right side
    211,181.31x = 35,100,357,256.74
  5. Step 5: Solve for x
    x = 35,100,357,256.74/211,181.31
  6. Step 6: Final answer
    x = 166,209.58

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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.