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Finding the Fourth Proportional to 277,509.50, 382,963.08 and 150,185.08

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Solution

The fourth proportional to 277,509.50, 382,963.08 and 150,185.08 is: 207,255.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,509.50 : 382,963.08 = 150,185.08 : x
  2. Step 2: Convert to fraction form
    277,509.50/382,963.08 = 150,185.08/x
  3. Step 3: Cross multiply
    277,509.50x = 382,963.08 × 150,185.08
  4. Step 4: Simplify right side
    277,509.50x = 57,515,340,806.85
  5. Step 5: Solve for x
    x = 57,515,340,806.85/277,509.50
  6. Step 6: Final answer
    x = 207,255.39

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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.