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Finding the Fourth Proportional to 275,190.12, 412,823.44 and 97,654.92

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Solution

The fourth proportional to 275,190.12, 412,823.44 and 97,654.92 is: 146,495.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,190.12 : 412,823.44 = 97,654.92 : x
  2. Step 2: Convert to fraction form
    275,190.12/412,823.44 = 97,654.92/x
  3. Step 3: Cross multiply
    275,190.12x = 412,823.44 × 97,654.92
  4. Step 4: Simplify right side
    275,190.12x = 40,314,240,007.32
  5. Step 5: Solve for x
    x = 40,314,240,007.32/275,190.12
  6. Step 6: Final answer
    x = 146,495.96

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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.