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Finding the Fourth Proportional to 189,783.41, 261,890.82 and 104,895

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Solution

The fourth proportional to 189,783.41, 261,890.82 and 104,895 is: 144,749.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,783.41 : 261,890.82 = 104,895 : x
  2. Step 2: Convert to fraction form
    189,783.41/261,890.82 = 104,895/x
  3. Step 3: Cross multiply
    189,783.41x = 261,890.82 × 104,895
  4. Step 4: Simplify right side
    189,783.41x = 27,471,037,563.90
  5. Step 5: Solve for x
    x = 27,471,037,563.90/189,783.41
  6. Step 6: Final answer
    x = 144,749.42

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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.