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Finding the Fourth Proportional to 223,675.26, 335,409.21 and 83,396.22

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Solution

The fourth proportional to 223,675.26, 335,409.21 and 83,396.22 is: 125,055.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,675.26 : 335,409.21 = 83,396.22 : x
  2. Step 2: Convert to fraction form
    223,675.26/335,409.21 = 83,396.22/x
  3. Step 3: Cross multiply
    223,675.26x = 335,409.21 × 83,396.22
  4. Step 4: Simplify right side
    223,675.26x = 27,971,859,850.21
  5. Step 5: Solve for x
    x = 27,971,859,850.21/223,675.26
  6. Step 6: Final answer
    x = 125,055.67

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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.