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Finding the Fourth Proportional to 204,264.86, 281,885.48 and 114,840.86

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Solution

The fourth proportional to 204,264.86, 281,885.48 and 114,840.86 is: 158,480.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,264.86 : 281,885.48 = 114,840.86 : x
  2. Step 2: Convert to fraction form
    204,264.86/281,885.48 = 114,840.86/x
  3. Step 3: Cross multiply
    204,264.86x = 281,885.48 × 114,840.86
  4. Step 4: Simplify right side
    204,264.86x = 32,371,968,961.08
  5. Step 5: Solve for x
    x = 32,371,968,961.08/204,264.86
  6. Step 6: Final answer
    x = 158,480.37

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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.