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Finding the Fourth Proportional to 275,004.86, 412,268.88 and 106,409.18

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Solution

The fourth proportional to 275,004.86, 412,268.88 and 106,409.18 is: 159,521.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,004.86 : 412,268.88 = 106,409.18 : x
  2. Step 2: Convert to fraction form
    275,004.86/412,268.88 = 106,409.18/x
  3. Step 3: Cross multiply
    275,004.86x = 412,268.88 × 106,409.18
  4. Step 4: Simplify right side
    275,004.86x = 43,869,193,460.32
  5. Step 5: Solve for x
    x = 43,869,193,460.32/275,004.86
  6. Step 6: Final answer
    x = 159,521.52

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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.