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Finding the Fourth Proportional to 147,114.73, 220,704.90 and 53,620.48

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Solution

The fourth proportional to 147,114.73, 220,704.90 and 53,620.48 is: 80,442.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,114.73 : 220,704.90 = 53,620.48 : x
  2. Step 2: Convert to fraction form
    147,114.73/220,704.90 = 53,620.48/x
  3. Step 3: Cross multiply
    147,114.73x = 220,704.90 × 53,620.48
  4. Step 4: Simplify right side
    147,114.73x = 11,834,302,676.35
  5. Step 5: Solve for x
    x = 11,834,302,676.35/147,114.73
  6. Step 6: Final answer
    x = 80,442.68

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.