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Finding the Fourth Proportional to 140,778.04, 211,180.80 and 40,939

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Solution

The fourth proportional to 140,778.04, 211,180.80 and 40,939 is: 61,412.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,778.04 : 211,180.80 = 40,939 : x
  2. Step 2: Convert to fraction form
    140,778.04/211,180.80 = 40,939/x
  3. Step 3: Cross multiply
    140,778.04x = 211,180.80 × 40,939
  4. Step 4: Simplify right side
    140,778.04x = 8,645,530,771.20
  5. Step 5: Solve for x
    x = 8,645,530,771.20/140,778.04
  6. Step 6: Final answer
    x = 61,412.50

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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.