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Finding the Fourth Proportional to 140,467.88, 210,699.66 and 35,286.86

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Solution

The fourth proportional to 140,467.88, 210,699.66 and 35,286.86 is: 52,929.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,467.88 : 210,699.66 = 35,286.86 : x
  2. Step 2: Convert to fraction form
    140,467.88/210,699.66 = 35,286.86/x
  3. Step 3: Cross multiply
    140,467.88x = 210,699.66 × 35,286.86
  4. Step 4: Simplify right side
    140,467.88x = 7,434,929,404.47
  5. Step 5: Solve for x
    x = 7,434,929,404.47/140,467.88
  6. Step 6: Final answer
    x = 52,929.75

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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.