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Finding the Fourth Proportional to 146,820.87, 202,627.05 and 82,301.10

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Solution

The fourth proportional to 146,820.87, 202,627.05 and 82,301.10 is: 113,583.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,820.87 : 202,627.05 = 82,301.10 : x
  2. Step 2: Convert to fraction form
    146,820.87/202,627.05 = 82,301.10/x
  3. Step 3: Cross multiply
    146,820.87x = 202,627.05 × 82,301.10
  4. Step 4: Simplify right side
    146,820.87x = 16,676,429,104.76
  5. Step 5: Solve for x
    x = 16,676,429,104.76/146,820.87
  6. Step 6: Final answer
    x = 113,583.51

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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.