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Finding the Fourth Proportional to 274,920.63, 412,365.56 and 75,226.34

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Solution

The fourth proportional to 274,920.63, 412,365.56 and 75,226.34 is: 112,835.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,920.63 : 412,365.56 = 75,226.34 : x
  2. Step 2: Convert to fraction form
    274,920.63/412,365.56 = 75,226.34/x
  3. Step 3: Cross multiply
    274,920.63x = 412,365.56 × 75,226.34
  4. Step 4: Simplify right side
    274,920.63x = 31,020,749,382.89
  5. Step 5: Solve for x
    x = 31,020,749,382.89/274,920.63
  6. Step 6: Final answer
    x = 112,835.29

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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.