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Finding the Fourth Proportional to 211,179.31, 291,354.60 and 120,469.84

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Solution

The fourth proportional to 211,179.31, 291,354.60 and 120,469.84 is: 166,206.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,179.31 : 291,354.60 = 120,469.84 : x
  2. Step 2: Convert to fraction form
    211,179.31/291,354.60 = 120,469.84/x
  3. Step 3: Cross multiply
    211,179.31x = 291,354.60 × 120,469.84
  4. Step 4: Simplify right side
    211,179.31x = 35,099,442,045.26
  5. Step 5: Solve for x
    x = 35,099,442,045.26/211,179.31
  6. Step 6: Final answer
    x = 166,206.82

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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.