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Finding the Fourth Proportional to 215,983.20, 323,877.60 and 97,593.60

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Solution

The fourth proportional to 215,983.20, 323,877.60 and 97,593.60 is: 146,346.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,983.20 : 323,877.60 = 97,593.60 : x
  2. Step 2: Convert to fraction form
    215,983.20/323,877.60 = 97,593.60/x
  3. Step 3: Cross multiply
    215,983.20x = 323,877.60 × 97,593.60
  4. Step 4: Simplify right side
    215,983.20x = 31,608,380,943.36
  5. Step 5: Solve for x
    x = 31,608,380,943.36/215,983.20
  6. Step 6: Final answer
    x = 146,346.48

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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.