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Finding the Fourth Proportional to 189,289.85, 283,873.32 and 62,896.16

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Solution

The fourth proportional to 189,289.85, 283,873.32 and 62,896.16 is: 94,323.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,289.85 : 283,873.32 = 62,896.16 : x
  2. Step 2: Convert to fraction form
    189,289.85/283,873.32 = 62,896.16/x
  3. Step 3: Cross multiply
    189,289.85x = 283,873.32 × 62,896.16
  4. Step 4: Simplify right side
    189,289.85x = 17,854,540,020.60
  5. Step 5: Solve for x
    x = 17,854,540,020.60/189,289.85
  6. Step 6: Final answer
    x = 94,323.81

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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.