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Finding the Fourth Proportional to 206,094.18, 309,185.76 and 63,936.69

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Solution

The fourth proportional to 206,094.18, 309,185.76 and 63,936.69 is: 95,918.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,094.18 : 309,185.76 = 63,936.69 : x
  2. Step 2: Convert to fraction form
    206,094.18/309,185.76 = 63,936.69/x
  3. Step 3: Cross multiply
    206,094.18x = 309,185.76 × 63,936.69
  4. Step 4: Simplify right side
    206,094.18x = 19,768,314,089.53
  5. Step 5: Solve for x
    x = 19,768,314,089.53/206,094.18
  6. Step 6: Final answer
    x = 95,918.84

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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.