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Finding the Fourth Proportional to 101,475.40, 152,213.10 and 54,819.40

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Solution

The fourth proportional to 101,475.40, 152,213.10 and 54,819.40 is: 82,229.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,475.40 : 152,213.10 = 54,819.40 : x
  2. Step 2: Convert to fraction form
    101,475.40/152,213.10 = 54,819.40/x
  3. Step 3: Cross multiply
    101,475.40x = 152,213.10 × 54,819.40
  4. Step 4: Simplify right side
    101,475.40x = 8,344,230,814.14
  5. Step 5: Solve for x
    x = 8,344,230,814.14/101,475.40
  6. Step 6: Final answer
    x = 82,229.10

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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.