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Finding the Fourth Proportional to 275,176.48, 412,747.36 and 97,660

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Solution

The fourth proportional to 275,176.48, 412,747.36 and 97,660 is: 146,483.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,176.48 : 412,747.36 = 97,660 : x
  2. Step 2: Convert to fraction form
    275,176.48/412,747.36 = 97,660/x
  3. Step 3: Cross multiply
    275,176.48x = 412,747.36 × 97,660
  4. Step 4: Simplify right side
    275,176.48x = 40,308,907,177.60
  5. Step 5: Solve for x
    x = 40,308,907,177.60/275,176.48
  6. Step 6: Final answer
    x = 146,483.84

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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.