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Finding the Fourth Proportional to 103,638.56, 143,015.76 and 61,181.60

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Solution

The fourth proportional to 103,638.56, 143,015.76 and 61,181.60 is: 84,427.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,638.56 : 143,015.76 = 61,181.60 : x
  2. Step 2: Convert to fraction form
    103,638.56/143,015.76 = 61,181.60/x
  3. Step 3: Cross multiply
    103,638.56x = 143,015.76 × 61,181.60
  4. Step 4: Simplify right side
    103,638.56x = 8,749,933,022.02
  5. Step 5: Solve for x
    x = 8,749,933,022.02/103,638.56
  6. Step 6: Final answer
    x = 84,427.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.