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Finding the Fourth Proportional to 188,900.76, 283,342 and 46,745.44

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Solution

The fourth proportional to 188,900.76, 283,342 and 46,745.44 is: 70,115.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,900.76 : 283,342 = 46,745.44 : x
  2. Step 2: Convert to fraction form
    188,900.76/283,342 = 46,745.44/x
  3. Step 3: Cross multiply
    188,900.76x = 283,342 × 46,745.44
  4. Step 4: Simplify right side
    188,900.76x = 13,244,946,460.48
  5. Step 5: Solve for x
    x = 13,244,946,460.48/188,900.76
  6. Step 6: Final answer
    x = 70,115.90

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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.