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Finding the Fourth Proportional to 140,945.41, 211,449.22 and 41,113.42

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Solution

The fourth proportional to 140,945.41, 211,449.22 and 41,113.42 is: 61,679.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,945.41 : 211,449.22 = 41,113.42 : x
  2. Step 2: Convert to fraction form
    140,945.41/211,449.22 = 41,113.42/x
  3. Step 3: Cross multiply
    140,945.41x = 211,449.22 × 41,113.42
  4. Step 4: Simplify right side
    140,945.41x = 8,693,400,590.53
  5. Step 5: Solve for x
    x = 8,693,400,590.53/140,945.41
  6. Step 6: Final answer
    x = 61,679.20

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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.