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Finding the Fourth Proportional to 253,100.63, 380,241.43 and 147,993.41

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Solution

The fourth proportional to 253,100.63, 380,241.43 and 147,993.41 is: 222,335.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,100.63 : 380,241.43 = 147,993.41 : x
  2. Step 2: Convert to fraction form
    253,100.63/380,241.43 = 147,993.41/x
  3. Step 3: Cross multiply
    253,100.63x = 380,241.43 × 147,993.41
  4. Step 4: Simplify right side
    253,100.63x = 56,273,225,836.15
  5. Step 5: Solve for x
    x = 56,273,225,836.15/253,100.63
  6. Step 6: Final answer
    x = 222,335.39

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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.