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Finding the Fourth Proportional to 274,762.62, 412,297.02 and 148,400.19

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Solution

The fourth proportional to 274,762.62, 412,297.02 and 148,400.19 is: 222,682.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,762.62 : 412,297.02 = 148,400.19 : x
  2. Step 2: Convert to fraction form
    274,762.62/412,297.02 = 148,400.19/x
  3. Step 3: Cross multiply
    274,762.62x = 412,297.02 × 148,400.19
  4. Step 4: Simplify right side
    274,762.62x = 61,184,956,104.43
  5. Step 5: Solve for x
    x = 61,184,956,104.43/274,762.62
  6. Step 6: Final answer
    x = 222,682.97

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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.