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Finding the Fourth Proportional to 206,900.48, 285,556.49 and 172,390.44

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Solution

The fourth proportional to 206,900.48, 285,556.49 and 172,390.44 is: 237,927.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,900.48 : 285,556.49 = 172,390.44 : x
  2. Step 2: Convert to fraction form
    206,900.48/285,556.49 = 172,390.44/x
  3. Step 3: Cross multiply
    206,900.48x = 285,556.49 × 172,390.44
  4. Step 4: Simplify right side
    206,900.48x = 49,227,209,811.30
  5. Step 5: Solve for x
    x = 49,227,209,811.30/206,900.48
  6. Step 6: Final answer
    x = 237,927.00

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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.