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Finding the Fourth Proportional to 211,029.92, 291,249.02 and 120,365.10

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Solution

The fourth proportional to 211,029.92, 291,249.02 and 120,365.10 is: 166,119.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,029.92 : 291,249.02 = 120,365.10 : x
  2. Step 2: Convert to fraction form
    211,029.92/291,249.02 = 120,365.10/x
  3. Step 3: Cross multiply
    211,029.92x = 291,249.02 × 120,365.10
  4. Step 4: Simplify right side
    211,029.92x = 35,056,216,815.38
  5. Step 5: Solve for x
    x = 35,056,216,815.38/211,029.92
  6. Step 6: Final answer
    x = 166,119.66

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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.