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Finding the Fourth Proportional to 192,823.92, 289,206.72 and 52,593.60

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Solution

The fourth proportional to 192,823.92, 289,206.72 and 52,593.60 is: 78,882.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,823.92 : 289,206.72 = 52,593.60 : x
  2. Step 2: Convert to fraction form
    192,823.92/289,206.72 = 52,593.60/x
  3. Step 3: Cross multiply
    192,823.92x = 289,206.72 × 52,593.60
  4. Step 4: Simplify right side
    192,823.92x = 15,210,422,548.99
  5. Step 5: Solve for x
    x = 15,210,422,548.99/192,823.92
  6. Step 6: Final answer
    x = 78,882.45

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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.