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Finding the Fourth Proportional to 185,203.26, 277,614.20 and 72,837.92

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Solution

The fourth proportional to 185,203.26, 277,614.20 and 72,837.92 is: 109,181.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,203.26 : 277,614.20 = 72,837.92 : x
  2. Step 2: Convert to fraction form
    185,203.26/277,614.20 = 72,837.92/x
  3. Step 3: Cross multiply
    185,203.26x = 277,614.20 × 72,837.92
  4. Step 4: Simplify right side
    185,203.26x = 20,220,841,766.59
  5. Step 5: Solve for x
    x = 20,220,841,766.59/185,203.26
  6. Step 6: Final answer
    x = 109,181.89

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.