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Finding the Fourth Proportional to 209,213.48, 313,817.48 and 51,443.30

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Solution

The fourth proportional to 209,213.48, 313,817.48 and 51,443.30 is: 77,164.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,213.48 : 313,817.48 = 51,443.30 : x
  2. Step 2: Convert to fraction form
    209,213.48/313,817.48 = 51,443.30/x
  3. Step 3: Cross multiply
    209,213.48x = 313,817.48 × 51,443.30
  4. Step 4: Simplify right side
    209,213.48x = 16,143,804,942.58
  5. Step 5: Solve for x
    x = 16,143,804,942.58/209,213.48
  6. Step 6: Final answer
    x = 77,164.27

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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.