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Finding the Fourth Proportional to 136,102.46, 204,108.33 and 57,201.98

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Solution

The fourth proportional to 136,102.46, 204,108.33 and 57,201.98 is: 85,783.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,102.46 : 204,108.33 = 57,201.98 : x
  2. Step 2: Convert to fraction form
    136,102.46/204,108.33 = 57,201.98/x
  3. Step 3: Cross multiply
    136,102.46x = 204,108.33 × 57,201.98
  4. Step 4: Simplify right side
    136,102.46x = 11,675,400,610.49
  5. Step 5: Solve for x
    x = 11,675,400,610.49/136,102.46
  6. Step 6: Final answer
    x = 85,783.91

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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.