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Finding the Fourth Proportional to 204,649.94, 307,043.22 and 90,782.04

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Solution

The fourth proportional to 204,649.94, 307,043.22 and 90,782.04 is: 136,203.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,649.94 : 307,043.22 = 90,782.04 : x
  2. Step 2: Convert to fraction form
    204,649.94/307,043.22 = 90,782.04/x
  3. Step 3: Cross multiply
    204,649.94x = 307,043.22 × 90,782.04
  4. Step 4: Simplify right side
    204,649.94x = 27,874,009,879.77
  5. Step 5: Solve for x
    x = 27,874,009,879.77/204,649.94
  6. Step 6: Final answer
    x = 136,203.36

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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.