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Finding the Fourth Proportional to 185,202.76, 277,613.45 and 72,837.43

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Solution

The fourth proportional to 185,202.76, 277,613.45 and 72,837.43 is: 109,181.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,202.76 : 277,613.45 = 72,837.43 : x
  2. Step 2: Convert to fraction form
    185,202.76/277,613.45 = 72,837.43/x
  3. Step 3: Cross multiply
    185,202.76x = 277,613.45 × 72,837.43
  4. Step 4: Simplify right side
    185,202.76x = 20,220,648,843.37
  5. Step 5: Solve for x
    x = 20,220,648,843.37/185,202.76
  6. Step 6: Final answer
    x = 109,181.14

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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.