Home / 206,222.37-284,586.48-115,578.30

Finding the Fourth Proportional to 206,222.37, 284,586.48 and 115,578.30

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Solution

The fourth proportional to 206,222.37, 284,586.48 and 115,578.30 is: 159,497.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,222.37 : 284,586.48 = 115,578.30 : x
  2. Step 2: Convert to fraction form
    206,222.37/284,586.48 = 115,578.30/x
  3. Step 3: Cross multiply
    206,222.37x = 284,586.48 × 115,578.30
  4. Step 4: Simplify right side
    206,222.37x = 32,892,021,561.38
  5. Step 5: Solve for x
    x = 32,892,021,561.38/206,222.37
  6. Step 6: Final answer
    x = 159,497.84

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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.