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Finding the Fourth Proportional to 149,078.34, 205,728.48 and 82,010.34

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Solution

The fourth proportional to 149,078.34, 205,728.48 and 82,010.34 is: 113,174.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,078.34 : 205,728.48 = 82,010.34 : x
  2. Step 2: Convert to fraction form
    149,078.34/205,728.48 = 82,010.34/x
  3. Step 3: Cross multiply
    149,078.34x = 205,728.48 × 82,010.34
  4. Step 4: Simplify right side
    149,078.34x = 16,871,862,592.48
  5. Step 5: Solve for x
    x = 16,871,862,592.48/149,078.34
  6. Step 6: Final answer
    x = 113,174.47

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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.