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Finding the Fourth Proportional to 274,735.36, 412,219.90 and 106,373.96

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Solution

The fourth proportional to 274,735.36, 412,219.90 and 106,373.96 is: 159,606.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,735.36 : 412,219.90 = 106,373.96 : x
  2. Step 2: Convert to fraction form
    274,735.36/412,219.90 = 106,373.96/x
  3. Step 3: Cross multiply
    274,735.36x = 412,219.90 × 106,373.96
  4. Step 4: Simplify right side
    274,735.36x = 43,849,462,771.50
  5. Step 5: Solve for x
    x = 43,849,462,771.50/274,735.36
  6. Step 6: Final answer
    x = 159,606.18

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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.