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Finding the Fourth Proportional to 189,950.52, 284,844.78 and 56,828.64

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Solution

The fourth proportional to 189,950.52, 284,844.78 and 56,828.64 is: 85,218.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,950.52 : 284,844.78 = 56,828.64 : x
  2. Step 2: Convert to fraction form
    189,950.52/284,844.78 = 56,828.64/x
  3. Step 3: Cross multiply
    189,950.52x = 284,844.78 × 56,828.64
  4. Step 4: Simplify right side
    189,950.52x = 16,187,341,458.50
  5. Step 5: Solve for x
    x = 16,187,341,458.50/189,950.52
  6. Step 6: Final answer
    x = 85,218.73

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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.