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Finding the Fourth Proportional to 348,160.56, 522,211.68 and 137,742

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Solution

The fourth proportional to 348,160.56, 522,211.68 and 137,742 is: 206,601.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    348,160.56 : 522,211.68 = 137,742 : x
  2. Step 2: Convert to fraction form
    348,160.56/522,211.68 = 137,742/x
  3. Step 3: Cross multiply
    348,160.56x = 522,211.68 × 137,742
  4. Step 4: Simplify right side
    348,160.56x = 71,930,481,226.56
  5. Step 5: Solve for x
    x = 71,930,481,226.56/348,160.56
  6. Step 6: Final answer
    x = 206,601.46

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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.