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Finding the Fourth Proportional to 146,467.94, 219,734.86 and 51,704.86

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Solution

The fourth proportional to 146,467.94, 219,734.86 and 51,704.86 is: 77,568.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,467.94 : 219,734.86 = 51,704.86 : x
  2. Step 2: Convert to fraction form
    146,467.94/219,734.86 = 51,704.86/x
  3. Step 3: Cross multiply
    146,467.94x = 219,734.86 × 51,704.86
  4. Step 4: Simplify right side
    146,467.94x = 11,361,360,173.42
  5. Step 5: Solve for x
    x = 11,361,360,173.42/146,467.94
  6. Step 6: Final answer
    x = 77,568.92

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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.