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Finding the Fourth Proportional to 201,387.72, 277,914.60 and 110,749.26

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Solution

The fourth proportional to 201,387.72, 277,914.60 and 110,749.26 is: 152,833.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,387.72 : 277,914.60 = 110,749.26 : x
  2. Step 2: Convert to fraction form
    201,387.72/277,914.60 = 110,749.26/x
  3. Step 3: Cross multiply
    201,387.72x = 277,914.60 × 110,749.26
  4. Step 4: Simplify right side
    201,387.72x = 30,778,836,293.20
  5. Step 5: Solve for x
    x = 30,778,836,293.20/201,387.72
  6. Step 6: Final answer
    x = 152,833.73

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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.