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Finding the Fourth Proportional to 188,048.44, 282,099 and 54,938.44

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Solution

The fourth proportional to 188,048.44, 282,099 and 54,938.44 is: 82,415.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,048.44 : 282,099 = 54,938.44 : x
  2. Step 2: Convert to fraction form
    188,048.44/282,099 = 54,938.44/x
  3. Step 3: Cross multiply
    188,048.44x = 282,099 × 54,938.44
  4. Step 4: Simplify right side
    188,048.44x = 15,498,078,985.56
  5. Step 5: Solve for x
    x = 15,498,078,985.56/188,048.44
  6. Step 6: Final answer
    x = 82,415.36

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1.5x scale

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.