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Finding the Fourth Proportional to 164,158, 246,269.40 and 51,855.55

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Solution

The fourth proportional to 164,158, 246,269.40 and 51,855.55 is: 77,793.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,158 : 246,269.40 = 51,855.55 : x
  2. Step 2: Convert to fraction form
    164,158/246,269.40 = 51,855.55/x
  3. Step 3: Cross multiply
    164,158x = 246,269.40 × 51,855.55
  4. Step 4: Simplify right side
    164,158x = 12,770,435,185.17
  5. Step 5: Solve for x
    x = 12,770,435,185.17/164,158
  6. Step 6: Final answer
    x = 77,793.56

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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.