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Finding the Fourth Proportional to 104,475.20, 156,739.82 and 45,297.20

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Solution

The fourth proportional to 104,475.20, 156,739.82 and 45,297.20 is: 67,957.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,475.20 : 156,739.82 = 45,297.20 : x
  2. Step 2: Convert to fraction form
    104,475.20/156,739.82 = 45,297.20/x
  3. Step 3: Cross multiply
    104,475.20x = 156,739.82 × 45,297.20
  4. Step 4: Simplify right side
    104,475.20x = 7,099,874,974.50
  5. Step 5: Solve for x
    x = 7,099,874,974.50/104,475.20
  6. Step 6: Final answer
    x = 67,957.52

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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.