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Finding the Fourth Proportional to 146,408.76, 202,047.90 and 82,750.59

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Solution

The fourth proportional to 146,408.76, 202,047.90 and 82,750.59 is: 114,197.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,408.76 : 202,047.90 = 82,750.59 : x
  2. Step 2: Convert to fraction form
    146,408.76/202,047.90 = 82,750.59/x
  3. Step 3: Cross multiply
    146,408.76x = 202,047.90 × 82,750.59
  4. Step 4: Simplify right side
    146,408.76x = 16,719,582,933.26
  5. Step 5: Solve for x
    x = 16,719,582,933.26/146,408.76
  6. Step 6: Final answer
    x = 114,197.97

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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.