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Finding the Fourth Proportional to 189,226.70, 283,791.66 and 56,075.88

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Solution

The fourth proportional to 189,226.70, 283,791.66 and 56,075.88 is: 84,099.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,226.70 : 283,791.66 = 56,075.88 : x
  2. Step 2: Convert to fraction form
    189,226.70/283,791.66 = 56,075.88/x
  3. Step 3: Cross multiply
    189,226.70x = 283,791.66 × 56,075.88
  4. Step 4: Simplify right side
    189,226.70x = 15,913,867,071.16
  5. Step 5: Solve for x
    x = 15,913,867,071.16/189,226.70
  6. Step 6: Final answer
    x = 84,099.48

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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.