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Finding the Fourth Proportional to 203,511.40, 305,194.20 and 103,638.40

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Solution

The fourth proportional to 203,511.40, 305,194.20 and 103,638.40 is: 155,420.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,511.40 : 305,194.20 = 103,638.40 : x
  2. Step 2: Convert to fraction form
    203,511.40/305,194.20 = 103,638.40/x
  3. Step 3: Cross multiply
    203,511.40x = 305,194.20 × 103,638.40
  4. Step 4: Simplify right side
    203,511.40x = 31,629,838,577.28
  5. Step 5: Solve for x
    x = 31,629,838,577.28/203,511.40
  6. Step 6: Final answer
    x = 155,420.48

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.