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Finding the Fourth Proportional to 146,340.28, 201,938.34 and 82,683.88

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Solution

The fourth proportional to 146,340.28, 201,938.34 and 82,683.88 is: 114,097.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,340.28 : 201,938.34 = 82,683.88 : x
  2. Step 2: Convert to fraction form
    146,340.28/201,938.34 = 82,683.88/x
  3. Step 3: Cross multiply
    146,340.28x = 201,938.34 × 82,683.88
  4. Step 4: Simplify right side
    146,340.28x = 16,697,045,471.96
  5. Step 5: Solve for x
    x = 16,697,045,471.96/146,340.28
  6. Step 6: Final answer
    x = 114,097.40

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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.