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Finding the Fourth Proportional to 192,673.92, 288,981.69 and 52,443.48

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Solution

The fourth proportional to 192,673.92, 288,981.69 and 52,443.48 is: 78,657.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,673.92 : 288,981.69 = 52,443.48 : x
  2. Step 2: Convert to fraction form
    192,673.92/288,981.69 = 52,443.48/x
  3. Step 3: Cross multiply
    192,673.92x = 288,981.69 × 52,443.48
  4. Step 4: Simplify right side
    192,673.92x = 15,155,205,479.88
  5. Step 5: Solve for x
    x = 15,155,205,479.88/192,673.92
  6. Step 6: Final answer
    x = 78,657.27

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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.