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Finding the Fourth Proportional to 140,791.77, 211,184.01 and 47,297.52

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Solution

The fourth proportional to 140,791.77, 211,184.01 and 47,297.52 is: 70,945.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,791.77 : 211,184.01 = 47,297.52 : x
  2. Step 2: Convert to fraction form
    140,791.77/211,184.01 = 47,297.52/x
  3. Step 3: Cross multiply
    140,791.77x = 211,184.01 × 47,297.52
  4. Step 4: Simplify right side
    140,791.77x = 9,988,479,936.66
  5. Step 5: Solve for x
    x = 9,988,479,936.66/140,791.77
  6. Step 6: Final answer
    x = 70,945.06

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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.