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Finding the Fourth Proportional to 188,071.74, 282,109.41 and 47,830.32

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Solution

The fourth proportional to 188,071.74, 282,109.41 and 47,830.32 is: 71,745.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,071.74 : 282,109.41 = 47,830.32 : x
  2. Step 2: Convert to fraction form
    188,071.74/282,109.41 = 47,830.32/x
  3. Step 3: Cross multiply
    188,071.74x = 282,109.41 × 47,830.32
  4. Step 4: Simplify right side
    188,071.74x = 13,493,383,355.31
  5. Step 5: Solve for x
    x = 13,493,383,355.31/188,071.74
  6. Step 6: Final answer
    x = 71,745.94

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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.