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Finding the Fourth Proportional to 275,200.26, 412,858.74 and 88,342.98

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Solution

The fourth proportional to 275,200.26, 412,858.74 and 88,342.98 is: 132,533.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,200.26 : 412,858.74 = 88,342.98 : x
  2. Step 2: Convert to fraction form
    275,200.26/412,858.74 = 88,342.98/x
  3. Step 3: Cross multiply
    275,200.26x = 412,858.74 × 88,342.98
  4. Step 4: Simplify right side
    275,200.26x = 36,473,171,410.65
  5. Step 5: Solve for x
    x = 36,473,171,410.65/275,200.26
  6. Step 6: Final answer
    x = 132,533.20

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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.