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Finding the Fourth Proportional to 225,825.64, 338,738.60 and 57,358.60

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Solution

The fourth proportional to 225,825.64, 338,738.60 and 57,358.60 is: 86,037.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,825.64 : 338,738.60 = 57,358.60 : x
  2. Step 2: Convert to fraction form
    225,825.64/338,738.60 = 57,358.60/x
  3. Step 3: Cross multiply
    225,825.64x = 338,738.60 × 57,358.60
  4. Step 4: Simplify right side
    225,825.64x = 19,429,571,861.96
  5. Step 5: Solve for x
    x = 19,429,571,861.96/225,825.64
  6. Step 6: Final answer
    x = 86,037.94

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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.