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Finding the Fourth Proportional to 150,873.80, 208,206.44 and 82,896.28

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Solution

The fourth proportional to 150,873.80, 208,206.44 and 82,896.28 is: 114,397.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,873.80 : 208,206.44 = 82,896.28 : x
  2. Step 2: Convert to fraction form
    150,873.80/208,206.44 = 82,896.28/x
  3. Step 3: Cross multiply
    150,873.80x = 208,206.44 × 82,896.28
  4. Step 4: Simplify right side
    150,873.80x = 17,259,539,348.04
  5. Step 5: Solve for x
    x = 17,259,539,348.04/150,873.80
  6. Step 6: Final answer
    x = 114,397.19

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.