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Finding the Fourth Proportional to 331,188.24, 496,391.16 and 141,593.16

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Solution

The fourth proportional to 331,188.24, 496,391.16 and 141,593.16 is: 212,222.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    331,188.24 : 496,391.16 = 141,593.16 : x
  2. Step 2: Convert to fraction form
    331,188.24/496,391.16 = 141,593.16/x
  3. Step 3: Cross multiply
    331,188.24x = 496,391.16 × 141,593.16
  4. Step 4: Simplify right side
    331,188.24x = 70,285,592,940.47
  5. Step 5: Solve for x
    x = 70,285,592,940.47/331,188.24
  6. Step 6: Final answer
    x = 212,222.49

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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.