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Finding the Fourth Proportional to 211,556.74, 291,974.15 and 120,916.53

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Solution

The fourth proportional to 211,556.74, 291,974.15 and 120,916.53 is: 166,879.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,556.74 : 291,974.15 = 120,916.53 : x
  2. Step 2: Convert to fraction form
    211,556.74/291,974.15 = 120,916.53/x
  3. Step 3: Cross multiply
    211,556.74x = 291,974.15 × 120,916.53
  4. Step 4: Simplify right side
    211,556.74x = 35,304,501,067.70
  5. Step 5: Solve for x
    x = 35,304,501,067.70/211,556.74
  6. Step 6: Final answer
    x = 166,879.59

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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.