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Finding the Fourth Proportional to 134,676, 202,043.16 and 51,570

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Solution

The fourth proportional to 134,676, 202,043.16 and 51,570 is: 77,366.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    134,676 : 202,043.16 = 51,570 : x
  2. Step 2: Convert to fraction form
    134,676/202,043.16 = 51,570/x
  3. Step 3: Cross multiply
    134,676x = 202,043.16 × 51,570
  4. Step 4: Simplify right side
    134,676x = 10,419,365,761.20
  5. Step 5: Solve for x
    x = 10,419,365,761.20/134,676
  6. Step 6: Final answer
    x = 77,366.17

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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.