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Finding the Fourth Proportional to 192,924.92, 288,868.98 and 157,239.97

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Solution

The fourth proportional to 192,924.92, 288,868.98 and 157,239.97 is: 235,437.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,924.92 : 288,868.98 = 157,239.97 : x
  2. Step 2: Convert to fraction form
    192,924.92/288,868.98 = 157,239.97/x
  3. Step 3: Cross multiply
    192,924.92x = 288,868.98 × 157,239.97
  4. Step 4: Simplify right side
    192,924.92x = 45,421,749,616.61
  5. Step 5: Solve for x
    x = 45,421,749,616.61/192,924.92
  6. Step 6: Final answer
    x = 235,437.44

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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.