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Finding the Fourth Proportional to 270,206.01, 405,299.82 and 128,119.35

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Solution

The fourth proportional to 270,206.01, 405,299.82 and 128,119.35 is: 192,174.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,206.01 : 405,299.82 = 128,119.35 : x
  2. Step 2: Convert to fraction form
    270,206.01/405,299.82 = 128,119.35/x
  3. Step 3: Cross multiply
    270,206.01x = 405,299.82 × 128,119.35
  4. Step 4: Simplify right side
    270,206.01x = 51,926,749,493.52
  5. Step 5: Solve for x
    x = 51,926,749,493.52/270,206.01
  6. Step 6: Final answer
    x = 192,174.67

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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.