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Finding the Fourth Proportional to 135,314.99, 202,973.34 and 35,474.30

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Solution

The fourth proportional to 135,314.99, 202,973.34 and 35,474.30 is: 53,211.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,314.99 : 202,973.34 = 35,474.30 : x
  2. Step 2: Convert to fraction form
    135,314.99/202,973.34 = 35,474.30/x
  3. Step 3: Cross multiply
    135,314.99x = 202,973.34 × 35,474.30
  4. Step 4: Simplify right side
    135,314.99x = 7,200,336,140.30
  5. Step 5: Solve for x
    x = 7,200,336,140.30/135,314.99
  6. Step 6: Final answer
    x = 53,211.67

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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.