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Finding the Fourth Proportional to 164,861.05, 247,286.94 and 52,548

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Solution

The fourth proportional to 164,861.05, 247,286.94 and 52,548 is: 78,820.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,861.05 : 247,286.94 = 52,548 : x
  2. Step 2: Convert to fraction form
    164,861.05/247,286.94 = 52,548/x
  3. Step 3: Cross multiply
    164,861.05x = 247,286.94 × 52,548
  4. Step 4: Simplify right side
    164,861.05x = 12,994,434,123.12
  5. Step 5: Solve for x
    x = 12,994,434,123.12/164,861.05
  6. Step 6: Final answer
    x = 78,820.52

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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.