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Finding the Fourth Proportional to 135,793.44, 203,395.32 and 83,043

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Solution

The fourth proportional to 135,793.44, 203,395.32 and 83,043 is: 124,384.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,793.44 : 203,395.32 = 83,043 : x
  2. Step 2: Convert to fraction form
    135,793.44/203,395.32 = 83,043/x
  3. Step 3: Cross multiply
    135,793.44x = 203,395.32 × 83,043
  4. Step 4: Simplify right side
    135,793.44x = 16,890,557,558.76
  5. Step 5: Solve for x
    x = 16,890,557,558.76/135,793.44
  6. Step 6: Final answer
    x = 124,384.19

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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.