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Finding the Fourth Proportional to 219,408.75, 329,113.17 and 53,196.75

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Solution

The fourth proportional to 219,408.75, 329,113.17 and 53,196.75 is: 79,795.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,408.75 : 329,113.17 = 53,196.75 : x
  2. Step 2: Convert to fraction form
    219,408.75/329,113.17 = 53,196.75/x
  3. Step 3: Cross multiply
    219,408.75x = 329,113.17 × 53,196.75
  4. Step 4: Simplify right side
    219,408.75x = 17,507,751,026.20
  5. Step 5: Solve for x
    x = 17,507,751,026.20/219,408.75
  6. Step 6: Final answer
    x = 79,795.14

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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.