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Finding the Fourth Proportional to 141,099.70, 194,711.49 and 77,438.58

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Solution

The fourth proportional to 141,099.70, 194,711.49 and 77,438.58 is: 106,861.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,099.70 : 194,711.49 = 77,438.58 : x
  2. Step 2: Convert to fraction form
    141,099.70/194,711.49 = 77,438.58/x
  3. Step 3: Cross multiply
    141,099.70x = 194,711.49 × 77,438.58
  4. Step 4: Simplify right side
    141,099.70x = 15,078,181,295.28
  5. Step 5: Solve for x
    x = 15,078,181,295.28/141,099.70
  6. Step 6: Final answer
    x = 106,861.89

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.