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Finding the Fourth Proportional to 189,832.50, 284,796.36 and 56,712.24

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Solution

The fourth proportional to 189,832.50, 284,796.36 and 56,712.24 is: 85,082.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,832.50 : 284,796.36 = 56,712.24 : x
  2. Step 2: Convert to fraction form
    189,832.50/284,796.36 = 56,712.24/x
  3. Step 3: Cross multiply
    189,832.50x = 284,796.36 × 56,712.24
  4. Step 4: Simplify right side
    189,832.50x = 16,151,439,519.45
  5. Step 5: Solve for x
    x = 16,151,439,519.45/189,832.50
  6. Step 6: Final answer
    x = 85,082.58

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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.