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Finding the Fourth Proportional to 192,805.86, 289,222.26 and 59,668.60

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Solution

The fourth proportional to 192,805.86, 289,222.26 and 59,668.60 is: 89,507.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,805.86 : 289,222.26 = 59,668.60 : x
  2. Step 2: Convert to fraction form
    192,805.86/289,222.26 = 59,668.60/x
  3. Step 3: Cross multiply
    192,805.86x = 289,222.26 × 59,668.60
  4. Step 4: Simplify right side
    192,805.86x = 17,257,487,343.04
  5. Step 5: Solve for x
    x = 17,257,487,343.04/192,805.86
  6. Step 6: Final answer
    x = 89,507.07

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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.