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Finding the Fourth Proportional to 142,757.17, 214,232.65 and 76,245.03

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Solution

The fourth proportional to 142,757.17, 214,232.65 and 76,245.03 is: 114,419.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,757.17 : 214,232.65 = 76,245.03 : x
  2. Step 2: Convert to fraction form
    142,757.17/214,232.65 = 76,245.03/x
  3. Step 3: Cross multiply
    142,757.17x = 214,232.65 × 76,245.03
  4. Step 4: Simplify right side
    142,757.17x = 16,334,174,635.62
  5. Step 5: Solve for x
    x = 16,334,174,635.62/142,757.17
  6. Step 6: Final answer
    x = 114,419.30

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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.