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Finding the Fourth Proportional to 140,794.42, 211,192.34 and 35,613.49

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Solution

The fourth proportional to 140,794.42, 211,192.34 and 35,613.49 is: 53,420.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,794.42 : 211,192.34 = 35,613.49 : x
  2. Step 2: Convert to fraction form
    140,794.42/211,192.34 = 35,613.49/x
  3. Step 3: Cross multiply
    140,794.42x = 211,192.34 × 35,613.49
  4. Step 4: Simplify right side
    140,794.42x = 7,521,295,760.69
  5. Step 5: Solve for x
    x = 7,521,295,760.69/140,794.42
  6. Step 6: Final answer
    x = 53,420.41

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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.