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Finding the Fourth Proportional to 189,379.62, 284,108.31 and 56,248.02

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Solution

The fourth proportional to 189,379.62, 284,108.31 and 56,248.02 is: 84,383.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,379.62 : 284,108.31 = 56,248.02 : x
  2. Step 2: Convert to fraction form
    189,379.62/284,108.31 = 56,248.02/x
  3. Step 3: Cross multiply
    189,379.62x = 284,108.31 × 56,248.02
  4. Step 4: Simplify right side
    189,379.62x = 15,980,529,903.05
  5. Step 5: Solve for x
    x = 15,980,529,903.05/189,379.62
  6. Step 6: Final answer
    x = 84,383.58

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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.