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Finding the Fourth Proportional to 189,761.82, 284,633.01 and 56,643.18

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Solution

The fourth proportional to 189,761.82, 284,633.01 and 56,643.18 is: 84,961.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,761.82 : 284,633.01 = 56,643.18 : x
  2. Step 2: Convert to fraction form
    189,761.82/284,633.01 = 56,643.18/x
  3. Step 3: Cross multiply
    189,761.82x = 284,633.01 × 56,643.18
  4. Step 4: Simplify right side
    189,761.82x = 16,122,518,819.37
  5. Step 5: Solve for x
    x = 16,122,518,819.37/189,761.82
  6. Step 6: Final answer
    x = 84,961.87

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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.