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Finding the Fourth Proportional to 204,332.69, 281,980.50 and 113,692.47

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Solution

The fourth proportional to 204,332.69, 281,980.50 and 113,692.47 is: 156,896.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,332.69 : 281,980.50 = 113,692.47 : x
  2. Step 2: Convert to fraction form
    204,332.69/281,980.50 = 113,692.47/x
  3. Step 3: Cross multiply
    204,332.69x = 281,980.50 × 113,692.47
  4. Step 4: Simplify right side
    204,332.69x = 32,059,059,536.84
  5. Step 5: Solve for x
    x = 32,059,059,536.84/204,332.69
  6. Step 6: Final answer
    x = 156,896.38

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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.