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Finding the Fourth Proportional to 142,076.88, 194,642.46 and 136,758.96

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Solution

The fourth proportional to 142,076.88, 194,642.46 and 136,758.96 is: 187,357.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,076.88 : 194,642.46 = 136,758.96 : x
  2. Step 2: Convert to fraction form
    142,076.88/194,642.46 = 136,758.96/x
  3. Step 3: Cross multiply
    142,076.88x = 194,642.46 × 136,758.96
  4. Step 4: Simplify right side
    142,076.88x = 26,619,100,401.44
  5. Step 5: Solve for x
    x = 26,619,100,401.44/142,076.88
  6. Step 6: Final answer
    x = 187,357.02

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.