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Finding the Fourth Proportional to 129,014.42, 193,514.77 and 40,257.76

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Solution

The fourth proportional to 129,014.42, 193,514.77 and 40,257.76 is: 60,384.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,014.42 : 193,514.77 = 40,257.76 : x
  2. Step 2: Convert to fraction form
    129,014.42/193,514.77 = 40,257.76/x
  3. Step 3: Cross multiply
    129,014.42x = 193,514.77 × 40,257.76
  4. Step 4: Simplify right side
    129,014.42x = 7,790,471,096.49
  5. Step 5: Solve for x
    x = 7,790,471,096.49/129,014.42
  6. Step 6: Final answer
    x = 60,384.50

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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.