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Finding the Fourth Proportional to 129,964.50, 194,916.78 and 41,201.46

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Solution

The fourth proportional to 129,964.50, 194,916.78 and 41,201.46 is: 61,792.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,964.50 : 194,916.78 = 41,201.46 : x
  2. Step 2: Convert to fraction form
    129,964.50/194,916.78 = 41,201.46/x
  3. Step 3: Cross multiply
    129,964.50x = 194,916.78 × 41,201.46
  4. Step 4: Simplify right side
    129,964.50x = 8,030,855,914.50
  5. Step 5: Solve for x
    x = 8,030,855,914.50/129,964.50
  6. Step 6: Final answer
    x = 61,792.69

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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.