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Finding the Fourth Proportional to 146,143.40, 201,680.56 and 82,468.88

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Solution

The fourth proportional to 146,143.40, 201,680.56 and 82,468.88 is: 113,808.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,143.40 : 201,680.56 = 82,468.88 : x
  2. Step 2: Convert to fraction form
    146,143.40/201,680.56 = 82,468.88/x
  3. Step 3: Cross multiply
    146,143.40x = 201,680.56 × 82,468.88
  4. Step 4: Simplify right side
    146,143.40x = 16,632,369,900.97
  5. Step 5: Solve for x
    x = 16,632,369,900.97/146,143.40
  6. Step 6: Final answer
    x = 113,808.56

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.