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Finding the Fourth Proportional to 201,208.74, 301,579.83 and 189,544.74

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Solution

The fourth proportional to 201,208.74, 301,579.83 and 189,544.74 is: 284,097.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,208.74 : 301,579.83 = 189,544.74 : x
  2. Step 2: Convert to fraction form
    201,208.74/301,579.83 = 189,544.74/x
  3. Step 3: Cross multiply
    201,208.74x = 301,579.83 × 189,544.74
  4. Step 4: Simplify right side
    201,208.74x = 57,162,870,466.59
  5. Step 5: Solve for x
    x = 57,162,870,466.59/201,208.74
  6. Step 6: Final answer
    x = 284,097.35

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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.