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Finding the Fourth Proportional to 192,087.54, 287,898.02 and 135,944.06

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Solution

The fourth proportional to 192,087.54, 287,898.02 and 135,944.06 is: 203,750.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,087.54 : 287,898.02 = 135,944.06 : x
  2. Step 2: Convert to fraction form
    192,087.54/287,898.02 = 135,944.06/x
  3. Step 3: Cross multiply
    192,087.54x = 287,898.02 × 135,944.06
  4. Step 4: Simplify right side
    192,087.54x = 39,138,023,585.55
  5. Step 5: Solve for x
    x = 39,138,023,585.55/192,087.54
  6. Step 6: Final answer
    x = 203,750.98

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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.