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Finding the Fourth Proportional to 135,804.40, 203,625.60 and 83,251.60

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Solution

The fourth proportional to 135,804.40, 203,625.60 and 83,251.60 is: 124,827.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,804.40 : 203,625.60 = 83,251.60 : x
  2. Step 2: Convert to fraction form
    135,804.40/203,625.60 = 83,251.60/x
  3. Step 3: Cross multiply
    135,804.40x = 203,625.60 × 83,251.60
  4. Step 4: Simplify right side
    135,804.40x = 16,952,157,000.96
  5. Step 5: Solve for x
    x = 16,952,157,000.96/135,804.40
  6. Step 6: Final answer
    x = 124,827.74

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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.