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Finding the Fourth Proportional to 146,732.38, 202,489.60 and 83,069.62

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Solution

The fourth proportional to 146,732.38, 202,489.60 and 83,069.62 is: 114,635.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,732.38 : 202,489.60 = 83,069.62 : x
  2. Step 2: Convert to fraction form
    146,732.38/202,489.60 = 83,069.62/x
  3. Step 3: Cross multiply
    146,732.38x = 202,489.60 × 83,069.62
  4. Step 4: Simplify right side
    146,732.38x = 16,820,734,125.95
  5. Step 5: Solve for x
    x = 16,820,734,125.95/146,732.38
  6. Step 6: Final answer
    x = 114,635.46

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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.