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Finding the Fourth Proportional to 277,493.98, 382,942.86 and 150,169.57

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Solution

The fourth proportional to 277,493.98, 382,942.86 and 150,169.57 is: 207,234.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,493.98 : 382,942.86 = 150,169.57 : x
  2. Step 2: Convert to fraction form
    277,493.98/382,942.86 = 150,169.57/x
  3. Step 3: Cross multiply
    277,493.98x = 382,942.86 × 150,169.57
  4. Step 4: Simplify right side
    277,493.98x = 57,506,364,620.77
  5. Step 5: Solve for x
    x = 57,506,364,620.77/277,493.98
  6. Step 6: Final answer
    x = 207,234.64

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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.