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Finding the Fourth Proportional to 204,388.44, 282,053.34 and 114,964.44

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Solution

The fourth proportional to 204,388.44, 282,053.34 and 114,964.44 is: 158,649.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,388.44 : 282,053.34 = 114,964.44 : x
  2. Step 2: Convert to fraction form
    204,388.44/282,053.34 = 114,964.44/x
  3. Step 3: Cross multiply
    204,388.44x = 282,053.34 × 114,964.44
  4. Step 4: Simplify right side
    204,388.44x = 32,426,104,283.23
  5. Step 5: Solve for x
    x = 32,426,104,283.23/204,388.44
  6. Step 6: Final answer
    x = 158,649.40

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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.