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Finding the Fourth Proportional to 270,513.96, 405,912.40 and 110,708.52

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Solution

The fourth proportional to 270,513.96, 405,912.40 and 110,708.52 is: 166,120.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,513.96 : 405,912.40 = 110,708.52 : x
  2. Step 2: Convert to fraction form
    270,513.96/405,912.40 = 110,708.52/x
  3. Step 3: Cross multiply
    270,513.96x = 405,912.40 × 110,708.52
  4. Step 4: Simplify right side
    270,513.96x = 44,937,961,053.65
  5. Step 5: Solve for x
    x = 44,937,961,053.65/270,513.96
  6. Step 6: Final answer
    x = 166,120.67

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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.