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Finding the Fourth Proportional to 188,084.36, 282,236.88 and 69,837.80

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Solution

The fourth proportional to 188,084.36, 282,236.88 and 69,837.80 is: 104,797.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,084.36 : 282,236.88 = 69,837.80 : x
  2. Step 2: Convert to fraction form
    188,084.36/282,236.88 = 69,837.80/x
  3. Step 3: Cross multiply
    188,084.36x = 282,236.88 × 69,837.80
  4. Step 4: Simplify right side
    188,084.36x = 19,710,802,778.06
  5. Step 5: Solve for x
    x = 19,710,802,778.06/188,084.36
  6. Step 6: Final answer
    x = 104,797.67

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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.