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Finding the Fourth Proportional to 211,297.38, 291,575.61 and 120,658.38

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Solution

The fourth proportional to 211,297.38, 291,575.61 and 120,658.38 is: 166,500.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,297.38 : 291,575.61 = 120,658.38 : x
  2. Step 2: Convert to fraction form
    211,297.38/291,575.61 = 120,658.38/x
  3. Step 3: Cross multiply
    211,297.38x = 291,575.61 × 120,658.38
  4. Step 4: Simplify right side
    211,297.38x = 35,181,040,750.11
  5. Step 5: Solve for x
    x = 35,181,040,750.11/211,297.38
  6. Step 6: Final answer
    x = 166,500.13

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.