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Finding the Fourth Proportional to 211,064.06, 291,241.32 and 120,414.80

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Solution

The fourth proportional to 211,064.06, 291,241.32 and 120,414.80 is: 166,156.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,064.06 : 291,241.32 = 120,414.80 : x
  2. Step 2: Convert to fraction form
    211,064.06/291,241.32 = 120,414.80/x
  3. Step 3: Cross multiply
    211,064.06x = 291,241.32 × 120,414.80
  4. Step 4: Simplify right side
    211,064.06x = 35,069,765,299.54
  5. Step 5: Solve for x
    x = 35,069,765,299.54/211,064.06
  6. Step 6: Final answer
    x = 166,156.97

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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.