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Finding the Fourth Proportional to 274,647.72, 412,030.44 and 85,103.94

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Solution

The fourth proportional to 274,647.72, 412,030.44 and 85,103.94 is: 127,674.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,647.72 : 412,030.44 = 85,103.94 : x
  2. Step 2: Convert to fraction form
    274,647.72/412,030.44 = 85,103.94/x
  3. Step 3: Cross multiply
    274,647.72x = 412,030.44 × 85,103.94
  4. Step 4: Simplify right side
    274,647.72x = 35,065,413,843.93
  5. Step 5: Solve for x
    x = 35,065,413,843.93/274,647.72
  6. Step 6: Final answer
    x = 127,674.15

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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.