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Finding the Fourth Proportional to 330,809.21, 496,184.31 and 106,108.64

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Solution

The fourth proportional to 330,809.21, 496,184.31 and 106,108.64 is: 159,153.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    330,809.21 : 496,184.31 = 106,108.64 : x
  2. Step 2: Convert to fraction form
    330,809.21/496,184.31 = 106,108.64/x
  3. Step 3: Cross multiply
    330,809.21x = 496,184.31 × 106,108.64
  4. Step 4: Simplify right side
    330,809.21x = 52,649,442,323.44
  5. Step 5: Solve for x
    x = 52,649,442,323.44/330,809.21
  6. Step 6: Final answer
    x = 159,153.50

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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.