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Finding the Fourth Proportional to 215,513.76, 297,408.24 and 120,021.60

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Solution

The fourth proportional to 215,513.76, 297,408.24 and 120,021.60 is: 165,629.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,513.76 : 297,408.24 = 120,021.60 : x
  2. Step 2: Convert to fraction form
    215,513.76/297,408.24 = 120,021.60/x
  3. Step 3: Cross multiply
    215,513.76x = 297,408.24 × 120,021.60
  4. Step 4: Simplify right side
    215,513.76x = 35,695,412,817.98
  5. Step 5: Solve for x
    x = 35,695,412,817.98/215,513.76
  6. Step 6: Final answer
    x = 165,629.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.