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Finding the Fourth Proportional to 189,647.73, 284,381.28 and 56,481.30

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Solution

The fourth proportional to 189,647.73, 284,381.28 and 56,481.30 is: 84,695.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,647.73 : 284,381.28 = 56,481.30 : x
  2. Step 2: Convert to fraction form
    189,647.73/284,381.28 = 56,481.30/x
  3. Step 3: Cross multiply
    189,647.73x = 284,381.28 × 56,481.30
  4. Step 4: Simplify right side
    189,647.73x = 16,062,224,390.06
  5. Step 5: Solve for x
    x = 16,062,224,390.06/189,647.73
  6. Step 6: Final answer
    x = 84,695.05

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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.