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Finding the Fourth Proportional to 148,139, 222,208.50 and 37,331

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Solution

The fourth proportional to 148,139, 222,208.50 and 37,331 is: 55,996.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,139 : 222,208.50 = 37,331 : x
  2. Step 2: Convert to fraction form
    148,139/222,208.50 = 37,331/x
  3. Step 3: Cross multiply
    148,139x = 222,208.50 × 37,331
  4. Step 4: Simplify right side
    148,139x = 8,295,265,513.50
  5. Step 5: Solve for x
    x = 8,295,265,513.50/148,139
  6. Step 6: Final answer
    x = 55,996.50

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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.