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Finding the Fourth Proportional to 188,302.89, 282,453.93 and 118,231.41

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Solution

The fourth proportional to 188,302.89, 282,453.93 and 118,231.41 is: 177,346.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,302.89 : 282,453.93 = 118,231.41 : x
  2. Step 2: Convert to fraction form
    188,302.89/282,453.93 = 118,231.41/x
  3. Step 3: Cross multiply
    188,302.89x = 282,453.93 × 118,231.41
  4. Step 4: Simplify right side
    188,302.89x = 33,394,926,403.94
  5. Step 5: Solve for x
    x = 33,394,926,403.94/188,302.89
  6. Step 6: Final answer
    x = 177,346.86

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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.