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Finding the Fourth Proportional to 189,015.93, 283,491.09 and 64,356.93

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Solution

The fourth proportional to 189,015.93, 283,491.09 and 64,356.93 is: 96,524.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,015.93 : 283,491.09 = 64,356.93 : x
  2. Step 2: Convert to fraction form
    189,015.93/283,491.09 = 64,356.93/x
  3. Step 3: Cross multiply
    189,015.93x = 283,491.09 × 64,356.93
  4. Step 4: Simplify right side
    189,015.93x = 18,244,616,234.75
  5. Step 5: Solve for x
    x = 18,244,616,234.75/189,015.93
  6. Step 6: Final answer
    x = 96,524.23

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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.