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Finding the Fourth Proportional to 156,474.65, 234,702.24 and 49,855.97

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Solution

The fourth proportional to 156,474.65, 234,702.24 and 49,855.97 is: 74,780.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,474.65 : 234,702.24 = 49,855.97 : x
  2. Step 2: Convert to fraction form
    156,474.65/234,702.24 = 49,855.97/x
  3. Step 3: Cross multiply
    156,474.65x = 234,702.24 × 49,855.97
  4. Step 4: Simplify right side
    156,474.65x = 11,701,306,662.86
  5. Step 5: Solve for x
    x = 11,701,306,662.86/156,474.65
  6. Step 6: Final answer
    x = 74,780.85

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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.