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Finding the Fourth Proportional to 300,176.00, 414,239.65 and 164,212.64

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Solution

The fourth proportional to 300,176.00, 414,239.65 and 164,212.64 is: 226,611.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,176.00 : 414,239.65 = 164,212.64 : x
  2. Step 2: Convert to fraction form
    300,176.00/414,239.65 = 164,212.64/x
  3. Step 3: Cross multiply
    300,176.00x = 414,239.65 × 164,212.64
  4. Step 4: Simplify right side
    300,176.00x = 68,023,384,037.45
  5. Step 5: Solve for x
    x = 68,023,384,037.45/300,176.00
  6. Step 6: Final answer
    x = 226,611.67

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.