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Finding the Fourth Proportional to 188,269.88, 282,404.93 and 118,198.40

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Solution

The fourth proportional to 188,269.88, 282,404.93 and 118,198.40 is: 177,297.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,269.88 : 282,404.93 = 118,198.40 : x
  2. Step 2: Convert to fraction form
    188,269.88/282,404.93 = 118,198.40/x
  3. Step 3: Cross multiply
    188,269.88x = 282,404.93 × 118,198.40
  4. Step 4: Simplify right side
    188,269.88x = 33,379,810,878.11
  5. Step 5: Solve for x
    x = 33,379,810,878.11/188,269.88
  6. Step 6: Final answer
    x = 177,297.67

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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.