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Finding the Fourth Proportional to 188,082.36, 282,233.88 and 69,835.80

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Solution

The fourth proportional to 188,082.36, 282,233.88 and 69,835.80 is: 104,794.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,082.36 : 282,233.88 = 69,835.80 : x
  2. Step 2: Convert to fraction form
    188,082.36/282,233.88 = 69,835.80/x
  3. Step 3: Cross multiply
    188,082.36x = 282,233.88 × 69,835.80
  4. Step 4: Simplify right side
    188,082.36x = 19,710,028,796.90
  5. Step 5: Solve for x
    x = 19,710,028,796.90/188,082.36
  6. Step 6: Final answer
    x = 104,794.67

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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.