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Finding the Fourth Proportional to 204,268.64, 281,848.80 and 119,369.28

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Solution

The fourth proportional to 204,268.64, 281,848.80 and 119,369.28 is: 164,705.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,268.64 : 281,848.80 = 119,369.28 : x
  2. Step 2: Convert to fraction form
    204,268.64/281,848.80 = 119,369.28/x
  3. Step 3: Cross multiply
    204,268.64x = 281,848.80 × 119,369.28
  4. Step 4: Simplify right side
    204,268.64x = 33,644,088,324.86
  5. Step 5: Solve for x
    x = 33,644,088,324.86/204,268.64
  6. Step 6: Final answer
    x = 164,705.11

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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.