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Finding the Fourth Proportional to 146,423.70, 202,062.60 and 82,759.32

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Solution

The fourth proportional to 146,423.70, 202,062.60 and 82,759.32 is: 114,206.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,423.70 : 202,062.60 = 82,759.32 : x
  2. Step 2: Convert to fraction form
    146,423.70/202,062.60 = 82,759.32/x
  3. Step 3: Cross multiply
    146,423.70x = 202,062.60 × 82,759.32
  4. Step 4: Simplify right side
    146,423.70x = 16,722,563,373.43
  5. Step 5: Solve for x
    x = 16,722,563,373.43/146,423.70
  6. Step 6: Final answer
    x = 114,206.67

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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.