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Finding the Fourth Proportional to 274,684.01, 412,144.42 and 148,299.16

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Solution

The fourth proportional to 274,684.01, 412,144.42 and 148,299.16 is: 222,512.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,684.01 : 412,144.42 = 148,299.16 : x
  2. Step 2: Convert to fraction form
    274,684.01/412,144.42 = 148,299.16/x
  3. Step 3: Cross multiply
    274,684.01x = 412,144.42 × 148,299.16
  4. Step 4: Simplify right side
    274,684.01x = 61,120,670,934.41
  5. Step 5: Solve for x
    x = 61,120,670,934.41/274,684.01
  6. Step 6: Final answer
    x = 222,512.66

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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.