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Finding the Fourth Proportional to 129,777.66, 194,665.34 and 41,031.23

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Solution

The fourth proportional to 129,777.66, 194,665.34 and 41,031.23 is: 61,546.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,777.66 : 194,665.34 = 41,031.23 : x
  2. Step 2: Convert to fraction form
    129,777.66/194,665.34 = 41,031.23/x
  3. Step 3: Cross multiply
    129,777.66x = 194,665.34 × 41,031.23
  4. Step 4: Simplify right side
    129,777.66x = 7,987,357,467.82
  5. Step 5: Solve for x
    x = 7,987,357,467.82/129,777.66
  6. Step 6: Final answer
    x = 61,546.47

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.