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Finding the Fourth Proportional to 206,090.54, 309,180.16 and 63,932.98

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Solution

The fourth proportional to 206,090.54, 309,180.16 and 63,932.98 is: 95,913.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,090.54 : 309,180.16 = 63,932.98 : x
  2. Step 2: Convert to fraction form
    206,090.54/309,180.16 = 63,932.98/x
  3. Step 3: Cross multiply
    206,090.54x = 309,180.16 × 63,932.98
  4. Step 4: Simplify right side
    206,090.54x = 19,766,808,985.68
  5. Step 5: Solve for x
    x = 19,766,808,985.68/206,090.54
  6. Step 6: Final answer
    x = 95,913.23

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.