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Finding the Fourth Proportional to 204,704.88, 307,149.48 and 111,070.32

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Solution

The fourth proportional to 204,704.88, 307,149.48 and 111,070.32 is: 166,655.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,704.88 : 307,149.48 = 111,070.32 : x
  2. Step 2: Convert to fraction form
    204,704.88/307,149.48 = 111,070.32/x
  3. Step 3: Cross multiply
    204,704.88x = 307,149.48 × 111,070.32
  4. Step 4: Simplify right side
    204,704.88x = 34,115,191,031.43
  5. Step 5: Solve for x
    x = 34,115,191,031.43/204,704.88
  6. Step 6: Final answer
    x = 166,655.48

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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.