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Finding the Fourth Proportional to 331,182.55, 496,847.63 and 120,820.48

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Solution

The fourth proportional to 331,182.55, 496,847.63 and 120,820.48 is: 181,257.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    331,182.55 : 496,847.63 = 120,820.48 : x
  2. Step 2: Convert to fraction form
    331,182.55/496,847.63 = 120,820.48/x
  3. Step 3: Cross multiply
    331,182.55x = 496,847.63 × 120,820.48
  4. Step 4: Simplify right side
    331,182.55x = 60,029,369,143.46
  5. Step 5: Solve for x
    x = 60,029,369,143.46/331,182.55
  6. Step 6: Final answer
    x = 181,257.65

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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.