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Finding the Fourth Proportional to 129,783.87, 194,638.14 and 49,816.22

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Solution

The fourth proportional to 129,783.87, 194,638.14 and 49,816.22 is: 74,709.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,783.87 : 194,638.14 = 49,816.22 : x
  2. Step 2: Convert to fraction form
    129,783.87/194,638.14 = 49,816.22/x
  3. Step 3: Cross multiply
    129,783.87x = 194,638.14 × 49,816.22
  4. Step 4: Simplify right side
    129,783.87x = 9,696,135,429.44
  5. Step 5: Solve for x
    x = 9,696,135,429.44/129,783.87
  6. Step 6: Final answer
    x = 74,709.87

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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.