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Finding the Fourth Proportional to 201,291.96, 277,789.20 and 110,654.91

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Solution

The fourth proportional to 201,291.96, 277,789.20 and 110,654.91 is: 152,707.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,291.96 : 277,789.20 = 110,654.91 : x
  2. Step 2: Convert to fraction form
    201,291.96/277,789.20 = 110,654.91/x
  3. Step 3: Cross multiply
    201,291.96x = 277,789.20 × 110,654.91
  4. Step 4: Simplify right side
    201,291.96x = 30,738,738,924.97
  5. Step 5: Solve for x
    x = 30,738,738,924.97/201,291.96
  6. Step 6: Final answer
    x = 152,707.24

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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.