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Finding the Fourth Proportional to 190,700.52, 285,996.24 and 76,848

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Solution

The fourth proportional to 190,700.52, 285,996.24 and 76,848 is: 115,250.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,700.52 : 285,996.24 = 76,848 : x
  2. Step 2: Convert to fraction form
    190,700.52/285,996.24 = 76,848/x
  3. Step 3: Cross multiply
    190,700.52x = 285,996.24 × 76,848
  4. Step 4: Simplify right side
    190,700.52x = 21,978,239,051.52
  5. Step 5: Solve for x
    x = 21,978,239,051.52/190,700.52
  6. Step 6: Final answer
    x = 115,250.02

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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.