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Finding the Fourth Proportional to 189,953.10, 284,893.20 and 56,837.70

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Solution

The fourth proportional to 189,953.10, 284,893.20 and 56,837.70 is: 85,245.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,953.10 : 284,893.20 = 56,837.70 : x
  2. Step 2: Convert to fraction form
    189,953.10/284,893.20 = 56,837.70/x
  3. Step 3: Cross multiply
    189,953.10x = 284,893.20 × 56,837.70
  4. Step 4: Simplify right side
    189,953.10x = 16,192,674,233.64
  5. Step 5: Solve for x
    x = 16,192,674,233.64/189,953.10
  6. Step 6: Final answer
    x = 85,245.64

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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.