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Finding the Fourth Proportional to 197,086.65, 295,649.37 and 52,990.68

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Solution

The fourth proportional to 197,086.65, 295,649.37 and 52,990.68 is: 79,491.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,086.65 : 295,649.37 = 52,990.68 : x
  2. Step 2: Convert to fraction form
    197,086.65/295,649.37 = 52,990.68/x
  3. Step 3: Cross multiply
    197,086.65x = 295,649.37 × 52,990.68
  4. Step 4: Simplify right side
    197,086.65x = 15,666,661,157.87
  5. Step 5: Solve for x
    x = 15,666,661,157.87/197,086.65
  6. Step 6: Final answer
    x = 79,491.23

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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.