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Finding the Fourth Proportional to 204,791.34, 282,602.75 and 114,157.20

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Solution

The fourth proportional to 204,791.34, 282,602.75 and 114,157.20 is: 157,531.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,791.34 : 282,602.75 = 114,157.20 : x
  2. Step 2: Convert to fraction form
    204,791.34/282,602.75 = 114,157.20/x
  3. Step 3: Cross multiply
    204,791.34x = 282,602.75 × 114,157.20
  4. Step 4: Simplify right side
    204,791.34x = 32,261,138,081.51
  5. Step 5: Solve for x
    x = 32,261,138,081.51/204,791.34
  6. Step 6: Final answer
    x = 157,531.75

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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.