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Finding the Fourth Proportional to 164,834.33, 247,169.44 and 52,499.98

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Solution

The fourth proportional to 164,834.33, 247,169.44 and 52,499.98 is: 78,723.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,834.33 : 247,169.44 = 52,499.98 : x
  2. Step 2: Convert to fraction form
    164,834.33/247,169.44 = 52,499.98/x
  3. Step 3: Cross multiply
    164,834.33x = 247,169.44 × 52,499.98
  4. Step 4: Simplify right side
    164,834.33x = 12,976,391,031.20
  5. Step 5: Solve for x
    x = 12,976,391,031.20/164,834.33
  6. Step 6: Final answer
    x = 78,723.84

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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.