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Finding the Fourth Proportional to 204,709.98, 307,064.98 and 79,963.50

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Solution

The fourth proportional to 204,709.98, 307,064.98 and 79,963.50 is: 119,945.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,709.98 : 307,064.98 = 79,963.50 : x
  2. Step 2: Convert to fraction form
    204,709.98/307,064.98 = 79,963.50/x
  3. Step 3: Cross multiply
    204,709.98x = 307,064.98 × 79,963.50
  4. Step 4: Simplify right side
    204,709.98x = 24,553,990,528.23
  5. Step 5: Solve for x
    x = 24,553,990,528.23/204,709.98
  6. Step 6: Final answer
    x = 119,945.25

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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.