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Finding the Fourth Proportional to 185,201.58, 277,822.87 and 72,867

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Solution

The fourth proportional to 185,201.58, 277,822.87 and 72,867 is: 109,308.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,201.58 : 277,822.87 = 72,867 : x
  2. Step 2: Convert to fraction form
    185,201.58/277,822.87 = 72,867/x
  3. Step 3: Cross multiply
    185,201.58x = 277,822.87 × 72,867
  4. Step 4: Simplify right side
    185,201.58x = 20,244,119,068.29
  5. Step 5: Solve for x
    x = 20,244,119,068.29/185,201.58
  6. Step 6: Final answer
    x = 109,308.57

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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.