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Finding the Fourth Proportional to 146,820.26, 202,626.17 and 82,300.46

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Solution

The fourth proportional to 146,820.26, 202,626.17 and 82,300.46 is: 113,582.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,820.26 : 202,626.17 = 82,300.46 : x
  2. Step 2: Convert to fraction form
    146,820.26/202,626.17 = 82,300.46/x
  3. Step 3: Cross multiply
    146,820.26x = 202,626.17 × 82,300.46
  4. Step 4: Simplify right side
    146,820.26x = 16,676,225,574.41
  5. Step 5: Solve for x
    x = 16,676,225,574.41/146,820.26
  6. Step 6: Final answer
    x = 113,582.60

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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.