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Finding the Fourth Proportional to 142,037.89, 213,057.14 and 57,738.56

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Solution

The fourth proportional to 142,037.89, 213,057.14 and 57,738.56 is: 86,607.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,037.89 : 213,057.14 = 57,738.56 : x
  2. Step 2: Convert to fraction form
    142,037.89/213,057.14 = 57,738.56/x
  3. Step 3: Cross multiply
    142,037.89x = 213,057.14 × 57,738.56
  4. Step 4: Simplify right side
    142,037.89x = 12,301,611,107.34
  5. Step 5: Solve for x
    x = 12,301,611,107.34/142,037.89
  6. Step 6: Final answer
    x = 86,607.96

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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.