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Finding the Fourth Proportional to 331,029.96, 496,156.08 and 153,161.16

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Solution

The fourth proportional to 331,029.96, 496,156.08 and 153,161.16 is: 229,561.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    331,029.96 : 496,156.08 = 153,161.16 : x
  2. Step 2: Convert to fraction form
    331,029.96/496,156.08 = 153,161.16/x
  3. Step 3: Cross multiply
    331,029.96x = 496,156.08 × 153,161.16
  4. Step 4: Simplify right side
    331,029.96x = 75,991,840,753.85
  5. Step 5: Solve for x
    x = 75,991,840,753.85/331,029.96
  6. Step 6: Final answer
    x = 229,561.82

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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.