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Finding the Fourth Proportional to 134,696, 202,052.10 and 41,202.56

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Solution

The fourth proportional to 134,696, 202,052.10 and 41,202.56 is: 61,806.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    134,696 : 202,052.10 = 41,202.56 : x
  2. Step 2: Convert to fraction form
    134,696/202,052.10 = 41,202.56/x
  3. Step 3: Cross multiply
    134,696x = 202,052.10 × 41,202.56
  4. Step 4: Simplify right side
    134,696x = 8,325,063,773.38
  5. Step 5: Solve for x
    x = 8,325,063,773.38/134,696
  6. Step 6: Final answer
    x = 61,806.32

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.