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Finding the Fourth Proportional to 189,433.56, 284,197.11 and 56,313.24

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Solution

The fourth proportional to 189,433.56, 284,197.11 and 56,313.24 is: 84,483.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,433.56 : 284,197.11 = 56,313.24 : x
  2. Step 2: Convert to fraction form
    189,433.56/284,197.11 = 56,313.24/x
  3. Step 3: Cross multiply
    189,433.56x = 284,197.11 × 56,313.24
  4. Step 4: Simplify right side
    189,433.56x = 16,004,060,062.74
  5. Step 5: Solve for x
    x = 16,004,060,062.74/189,433.56
  6. Step 6: Final answer
    x = 84,483.76

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.