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Finding the Fourth Proportional to 189,166.77, 283,791.66 and 56,057.44

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Solution

The fourth proportional to 189,166.77, 283,791.66 and 56,057.44 is: 84,098.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,166.77 : 283,791.66 = 56,057.44 : x
  2. Step 2: Convert to fraction form
    189,166.77/283,791.66 = 56,057.44/x
  3. Step 3: Cross multiply
    189,166.77x = 283,791.66 × 56,057.44
  4. Step 4: Simplify right side
    189,166.77x = 15,908,633,952.95
  5. Step 5: Solve for x
    x = 15,908,633,952.95/189,166.77
  6. Step 6: Final answer
    x = 84,098.46

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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.