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Finding the Fourth Proportional to 275,169.17, 412,794.77 and 97,661.31

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Solution

The fourth proportional to 275,169.17, 412,794.77 and 97,661.31 is: 146,506.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,169.17 : 412,794.77 = 97,661.31 : x
  2. Step 2: Convert to fraction form
    275,169.17/412,794.77 = 97,661.31/x
  3. Step 3: Cross multiply
    275,169.17x = 412,794.77 × 97,661.31
  4. Step 4: Simplify right side
    275,169.17x = 40,314,077,511.04
  5. Step 5: Solve for x
    x = 40,314,077,511.04/275,169.17
  6. Step 6: Final answer
    x = 146,506.52

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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.