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Finding the Fourth Proportional to 275,170.39, 412,796.59 and 97,662.53

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Solution

The fourth proportional to 275,170.39, 412,796.59 and 97,662.53 is: 146,508.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,170.39 : 412,796.59 = 97,662.53 : x
  2. Step 2: Convert to fraction form
    275,170.39/412,796.59 = 97,662.53/x
  3. Step 3: Cross multiply
    275,170.39x = 412,796.59 × 97,662.53
  4. Step 4: Simplify right side
    275,170.39x = 40,314,760,142.61
  5. Step 5: Solve for x
    x = 40,314,760,142.61/275,170.39
  6. Step 6: Final answer
    x = 146,508.35

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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.