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Finding the Fourth Proportional to 129,468.76, 194,189.01 and 34,708.24

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Solution

The fourth proportional to 129,468.76, 194,189.01 and 34,708.24 is: 52,058.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,468.76 : 194,189.01 = 34,708.24 : x
  2. Step 2: Convert to fraction form
    129,468.76/194,189.01 = 34,708.24/x
  3. Step 3: Cross multiply
    129,468.76x = 194,189.01 × 34,708.24
  4. Step 4: Simplify right side
    129,468.76x = 6,739,958,764.44
  5. Step 5: Solve for x
    x = 6,739,958,764.44/129,468.76
  6. Step 6: Final answer
    x = 52,058.57

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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.