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Finding the Fourth Proportional to 189,167.77, 283,793.16 and 56,058.44

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Solution

The fourth proportional to 189,167.77, 283,793.16 and 56,058.44 is: 84,099.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,167.77 : 283,793.16 = 56,058.44 : x
  2. Step 2: Convert to fraction form
    189,167.77/283,793.16 = 56,058.44/x
  3. Step 3: Cross multiply
    189,167.77x = 283,793.16 × 56,058.44
  4. Step 4: Simplify right side
    189,167.77x = 15,909,001,832.27
  5. Step 5: Solve for x
    x = 15,909,001,832.27/189,167.77
  6. Step 6: Final answer
    x = 84,099.96

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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.