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Finding the Fourth Proportional to 275,169.08, 412,794.62 and 97,661.22

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Solution

The fourth proportional to 275,169.08, 412,794.62 and 97,661.22 is: 146,506.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,169.08 : 412,794.62 = 97,661.22 : x
  2. Step 2: Convert to fraction form
    275,169.08/412,794.62 = 97,661.22/x
  3. Step 3: Cross multiply
    275,169.08x = 412,794.62 × 97,661.22
  4. Step 4: Simplify right side
    275,169.08x = 40,314,025,710.33
  5. Step 5: Solve for x
    x = 40,314,025,710.33/275,169.08
  6. Step 6: Final answer
    x = 146,506.38

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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.