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Finding the Fourth Proportional to 146,065.82, 201,580.05 and 82,380.38

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Solution

The fourth proportional to 146,065.82, 201,580.05 and 82,380.38 is: 113,690.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,065.82 : 201,580.05 = 82,380.38 : x
  2. Step 2: Convert to fraction form
    146,065.82/201,580.05 = 82,380.38/x
  3. Step 3: Cross multiply
    146,065.82x = 201,580.05 × 82,380.38
  4. Step 4: Simplify right side
    146,065.82x = 16,606,241,119.42
  5. Step 5: Solve for x
    x = 16,606,241,119.42/146,065.82
  6. Step 6: Final answer
    x = 113,690.12

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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.