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Finding the Fourth Proportional to 148,657, 222,985.50 and 50,161

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Solution

The fourth proportional to 148,657, 222,985.50 and 50,161 is: 75,241.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,657 : 222,985.50 = 50,161 : x
  2. Step 2: Convert to fraction form
    148,657/222,985.50 = 50,161/x
  3. Step 3: Cross multiply
    148,657x = 222,985.50 × 50,161
  4. Step 4: Simplify right side
    148,657x = 11,185,175,665.50
  5. Step 5: Solve for x
    x = 11,185,175,665.50/148,657
  6. Step 6: Final answer
    x = 75,241.50

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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.