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Finding the Fourth Proportional to 140,795.42, 211,193.84 and 35,614.49

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Solution

The fourth proportional to 140,795.42, 211,193.84 and 35,614.49 is: 53,421.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,795.42 : 211,193.84 = 35,614.49 : x
  2. Step 2: Convert to fraction form
    140,795.42/211,193.84 = 35,614.49/x
  3. Step 3: Cross multiply
    140,795.42x = 211,193.84 × 35,614.49
  4. Step 4: Simplify right side
    140,795.42x = 7,521,560,902.74
  5. Step 5: Solve for x
    x = 7,521,560,902.74/140,795.42
  6. Step 6: Final answer
    x = 53,421.91

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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.