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Finding the Fourth Proportional to 192,072.81, 287,966.46 and 92,137.83

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Solution

The fourth proportional to 192,072.81, 287,966.46 and 92,137.83 is: 138,138.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,072.81 : 287,966.46 = 92,137.83 : x
  2. Step 2: Convert to fraction form
    192,072.81/287,966.46 = 92,137.83/x
  3. Step 3: Cross multiply
    192,072.81x = 287,966.46 × 92,137.83
  4. Step 4: Simplify right side
    192,072.81x = 26,532,604,737.18
  5. Step 5: Solve for x
    x = 26,532,604,737.18/192,072.81
  6. Step 6: Final answer
    x = 138,138.27

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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.