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Finding the Fourth Proportional to 277,491.42, 382,939.14 and 150,166.98

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Solution

The fourth proportional to 277,491.42, 382,939.14 and 150,166.98 is: 207,230.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,491.42 : 382,939.14 = 150,166.98 : x
  2. Step 2: Convert to fraction form
    277,491.42/382,939.14 = 150,166.98/x
  3. Step 3: Cross multiply
    277,491.42x = 382,939.14 × 150,166.98
  4. Step 4: Simplify right side
    277,491.42x = 57,504,814,177.60
  5. Step 5: Solve for x
    x = 57,504,814,177.60/277,491.42
  6. Step 6: Final answer
    x = 207,230.96

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.