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Finding the Fourth Proportional to 201,326.89, 277,832.92 and 109,446.36

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Solution

The fourth proportional to 201,326.89, 277,832.92 and 109,446.36 is: 151,036.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,326.89 : 277,832.92 = 109,446.36 : x
  2. Step 2: Convert to fraction form
    201,326.89/277,832.92 = 109,446.36/x
  3. Step 3: Cross multiply
    201,326.89x = 277,832.92 × 109,446.36
  4. Step 4: Simplify right side
    201,326.89x = 30,407,801,782.17
  5. Step 5: Solve for x
    x = 30,407,801,782.17/201,326.89
  6. Step 6: Final answer
    x = 151,036.96

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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.