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Finding the Fourth Proportional to 192,138.85, 288,207.67 and 51,897.48

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Solution

The fourth proportional to 192,138.85, 288,207.67 and 51,897.48 is: 77,846.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,138.85 : 288,207.67 = 51,897.48 : x
  2. Step 2: Convert to fraction form
    192,138.85/288,207.67 = 51,897.48/x
  3. Step 3: Cross multiply
    192,138.85x = 288,207.67 × 51,897.48
  4. Step 4: Simplify right side
    192,138.85x = 14,957,250,089.15
  5. Step 5: Solve for x
    x = 14,957,250,089.15/192,138.85
  6. Step 6: Final answer
    x = 77,846.05

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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.