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Finding the Fourth Proportional to 129,966.50, 194,919.78 and 41,203.46

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Solution

The fourth proportional to 129,966.50, 194,919.78 and 41,203.46 is: 61,795.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,966.50 : 194,919.78 = 41,203.46 : x
  2. Step 2: Convert to fraction form
    129,966.50/194,919.78 = 41,203.46/x
  3. Step 3: Cross multiply
    129,966.50x = 194,919.78 × 41,203.46
  4. Step 4: Simplify right side
    129,966.50x = 8,031,369,358.44
  5. Step 5: Solve for x
    x = 8,031,369,358.44/129,966.50
  6. Step 6: Final answer
    x = 61,795.69

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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.