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Finding the Fourth Proportional to 135,181.46, 202,347.03 and 92,813.60

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Solution

The fourth proportional to 135,181.46, 202,347.03 and 92,813.60 is: 138,928.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,181.46 : 202,347.03 = 92,813.60 : x
  2. Step 2: Convert to fraction form
    135,181.46/202,347.03 = 92,813.60/x
  3. Step 3: Cross multiply
    135,181.46x = 202,347.03 × 92,813.60
  4. Step 4: Simplify right side
    135,181.46x = 18,780,557,157.53
  5. Step 5: Solve for x
    x = 18,780,557,157.53/135,181.46
  6. Step 6: Final answer
    x = 138,928.50

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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.