Home / 206,108.24-284,415.72-114,221.36

Finding the Fourth Proportional to 206,108.24, 284,415.72 and 114,221.36

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Solution

The fourth proportional to 206,108.24, 284,415.72 and 114,221.36 is: 157,617.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,108.24 : 284,415.72 = 114,221.36 : x
  2. Step 2: Convert to fraction form
    206,108.24/284,415.72 = 114,221.36/x
  3. Step 3: Cross multiply
    206,108.24x = 284,415.72 × 114,221.36
  4. Step 4: Simplify right side
    206,108.24x = 32,486,350,343.78
  5. Step 5: Solve for x
    x = 32,486,350,343.78/206,108.24
  6. Step 6: Final answer
    x = 157,617.91

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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.