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Finding the Fourth Proportional to 188,283.96, 282,203.22 and 82,882.68

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Solution

The fourth proportional to 188,283.96, 282,203.22 and 82,882.68 is: 124,225.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,283.96 : 282,203.22 = 82,882.68 : x
  2. Step 2: Convert to fraction form
    188,283.96/282,203.22 = 82,882.68/x
  3. Step 3: Cross multiply
    188,283.96x = 282,203.22 × 82,882.68
  4. Step 4: Simplify right side
    188,283.96x = 23,389,759,178.23
  5. Step 5: Solve for x
    x = 23,389,759,178.23/188,283.96
  6. Step 6: Final answer
    x = 124,225.98

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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.