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Finding the Fourth Proportional to 204,062.96, 281,595.48 and 114,638.96

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Solution

The fourth proportional to 204,062.96, 281,595.48 and 114,638.96 is: 158,195.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,062.96 : 281,595.48 = 114,638.96 : x
  2. Step 2: Convert to fraction form
    204,062.96/281,595.48 = 114,638.96/x
  3. Step 3: Cross multiply
    204,062.96x = 281,595.48 × 114,638.96
  4. Step 4: Simplify right side
    204,062.96x = 32,281,812,967.90
  5. Step 5: Solve for x
    x = 32,281,812,967.90/204,062.96
  6. Step 6: Final answer
    x = 158,195.36

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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.