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Finding the Fourth Proportional to 140,874.68, 211,324.32 and 35,693.65

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Solution

The fourth proportional to 140,874.68, 211,324.32 and 35,693.65 is: 53,543.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,874.68 : 211,324.32 = 35,693.65 : x
  2. Step 2: Convert to fraction form
    140,874.68/211,324.32 = 35,693.65/x
  3. Step 3: Cross multiply
    140,874.68x = 211,324.32 × 35,693.65
  4. Step 4: Simplify right side
    140,874.68x = 7,542,936,314.57
  5. Step 5: Solve for x
    x = 7,542,936,314.57/140,874.68
  6. Step 6: Final answer
    x = 53,543.59

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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.