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Finding the Fourth Proportional to 192,385.96, 288,578.94 and 52,144.58

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Solution

The fourth proportional to 192,385.96, 288,578.94 and 52,144.58 is: 78,216.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,385.96 : 288,578.94 = 52,144.58 : x
  2. Step 2: Convert to fraction form
    192,385.96/288,578.94 = 52,144.58/x
  3. Step 3: Cross multiply
    192,385.96x = 288,578.94 × 52,144.58
  4. Step 4: Simplify right side
    192,385.96x = 15,047,827,623.15
  5. Step 5: Solve for x
    x = 15,047,827,623.15/192,385.96
  6. Step 6: Final answer
    x = 78,216.87

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1.5x scale

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.