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Finding the Fourth Proportional to 450,121.66, 675,171.55 and 146,515.48

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Solution

The fourth proportional to 450,121.66, 675,171.55 and 146,515.48 is: 219,769.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    450,121.66 : 675,171.55 = 146,515.48 : x
  2. Step 2: Convert to fraction form
    450,121.66/675,171.55 = 146,515.48/x
  3. Step 3: Cross multiply
    450,121.66x = 675,171.55 × 146,515.48
  4. Step 4: Simplify right side
    450,121.66x = 98,923,086,023.65
  5. Step 5: Solve for x
    x = 98,923,086,023.65/450,121.66
  6. Step 6: Final answer
    x = 219,769.67

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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.