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Finding the Fourth Proportional to 202,649.06, 303,710.67 and 82,566.36

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Solution

The fourth proportional to 202,649.06, 303,710.67 and 82,566.36 is: 123,742.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,649.06 : 303,710.67 = 82,566.36 : x
  2. Step 2: Convert to fraction form
    202,649.06/303,710.67 = 82,566.36/x
  3. Step 3: Cross multiply
    202,649.06x = 303,710.67 × 82,566.36
  4. Step 4: Simplify right side
    202,649.06x = 25,076,284,515.06
  5. Step 5: Solve for x
    x = 25,076,284,515.06/202,649.06
  6. Step 6: Final answer
    x = 123,742.42

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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.