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Finding the Fourth Proportional to 142,438.30, 213,523.80 and 53,751.40

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Solution

The fourth proportional to 142,438.30, 213,523.80 and 53,751.40 is: 80,576.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,438.30 : 213,523.80 = 53,751.40 : x
  2. Step 2: Convert to fraction form
    142,438.30/213,523.80 = 53,751.40/x
  3. Step 3: Cross multiply
    142,438.30x = 213,523.80 × 53,751.40
  4. Step 4: Simplify right side
    142,438.30x = 11,477,203,183.32
  5. Step 5: Solve for x
    x = 11,477,203,183.32/142,438.30
  6. Step 6: Final answer
    x = 80,576.67

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.