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Finding the Fourth Proportional to 189,099.83, 283,683.45 and 62,747.66

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Solution

The fourth proportional to 189,099.83, 283,683.45 and 62,747.66 is: 94,132.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,099.83 : 283,683.45 = 62,747.66 : x
  2. Step 2: Convert to fraction form
    189,099.83/283,683.45 = 62,747.66/x
  3. Step 3: Cross multiply
    189,099.83x = 283,683.45 × 62,747.66
  4. Step 4: Simplify right side
    189,099.83x = 17,800,471,249.81
  5. Step 5: Solve for x
    x = 17,800,471,249.81/189,099.83
  6. Step 6: Final answer
    x = 94,132.67

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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.