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Finding the Fourth Proportional to 142,102.65, 213,107.82 and 47,307.36

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Solution

The fourth proportional to 142,102.65, 213,107.82 and 47,307.36 is: 70,945.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,102.65 : 213,107.82 = 47,307.36 : x
  2. Step 2: Convert to fraction form
    142,102.65/213,107.82 = 47,307.36/x
  3. Step 3: Cross multiply
    142,102.65x = 213,107.82 × 47,307.36
  4. Step 4: Simplify right side
    142,102.65x = 10,081,568,359.56
  5. Step 5: Solve for x
    x = 10,081,568,359.56/142,102.65
  6. Step 6: Final answer
    x = 70,945.67

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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.