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Finding the Fourth Proportional to 103,858.78, 143,321.72 and 65,638.84

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Solution

The fourth proportional to 103,858.78, 143,321.72 and 65,638.84 is: 90,579.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,858.78 : 143,321.72 = 65,638.84 : x
  2. Step 2: Convert to fraction form
    103,858.78/143,321.72 = 65,638.84/x
  3. Step 3: Cross multiply
    103,858.78x = 143,321.72 × 65,638.84
  4. Step 4: Simplify right side
    103,858.78x = 9,407,471,447.60
  5. Step 5: Solve for x
    x = 9,407,471,447.60/103,858.78
  6. Step 6: Final answer
    x = 90,579.45

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