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Finding the Fourth Proportional to 275,411.54, 412,992.70 and 97,923.28

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Solution

The fourth proportional to 275,411.54, 412,992.70 and 97,923.28 is: 146,840.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,411.54 : 412,992.70 = 97,923.28 : x
  2. Step 2: Convert to fraction form
    275,411.54/412,992.70 = 97,923.28/x
  3. Step 3: Cross multiply
    275,411.54x = 412,992.70 × 97,923.28
  4. Step 4: Simplify right side
    275,411.54x = 40,441,599,800.06
  5. Step 5: Solve for x
    x = 40,441,599,800.06/275,411.54
  6. Step 6: Final answer
    x = 146,840.61

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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.