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Finding the Fourth Proportional to 148,137, 222,205.50 and 37,329

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Solution

The fourth proportional to 148,137, 222,205.50 and 37,329 is: 55,993.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,137 : 222,205.50 = 37,329 : x
  2. Step 2: Convert to fraction form
    148,137/222,205.50 = 37,329/x
  3. Step 3: Cross multiply
    148,137x = 222,205.50 × 37,329
  4. Step 4: Simplify right side
    148,137x = 8,294,709,109.50
  5. Step 5: Solve for x
    x = 8,294,709,109.50/148,137
  6. Step 6: Final answer
    x = 55,993.50

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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.