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Finding the Fourth Proportional to 204,791.04, 307,225.98 and 71,709.12

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Solution

The fourth proportional to 204,791.04, 307,225.98 and 71,709.12 is: 107,577.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,791.04 : 307,225.98 = 71,709.12 : x
  2. Step 2: Convert to fraction form
    204,791.04/307,225.98 = 71,709.12/x
  3. Step 3: Cross multiply
    204,791.04x = 307,225.98 × 71,709.12
  4. Step 4: Simplify right side
    204,791.04x = 22,030,904,666.94
  5. Step 5: Solve for x
    x = 22,030,904,666.94/204,791.04
  6. Step 6: Final answer
    x = 107,577.48

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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.