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Finding the Fourth Proportional to 146,082.08, 201,599.28 and 82,419.56

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Solution

The fourth proportional to 146,082.08, 201,599.28 and 82,419.56 is: 113,742.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,082.08 : 201,599.28 = 82,419.56 : x
  2. Step 2: Convert to fraction form
    146,082.08/201,599.28 = 82,419.56/x
  3. Step 3: Cross multiply
    146,082.08x = 201,599.28 × 82,419.56
  4. Step 4: Simplify right side
    146,082.08x = 16,615,723,953.92
  5. Step 5: Solve for x
    x = 16,615,723,953.92/146,082.08
  6. Step 6: Final answer
    x = 113,742.38

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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.