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Finding the Fourth Proportional to 202,994.20, 304,361.70 and 84,712.60

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Solution

The fourth proportional to 202,994.20, 304,361.70 and 84,712.60 is: 127,014.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,994.20 : 304,361.70 = 84,712.60 : x
  2. Step 2: Convert to fraction form
    202,994.20/304,361.70 = 84,712.60/x
  3. Step 3: Cross multiply
    202,994.20x = 304,361.70 × 84,712.60
  4. Step 4: Simplify right side
    202,994.20x = 25,783,270,947.42
  5. Step 5: Solve for x
    x = 25,783,270,947.42/202,994.20
  6. Step 6: Final answer
    x = 127,014.82

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Why These Related Problems?

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