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Finding the Fourth Proportional to 277,523.17, 382,981.99 and 150,198.77

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Solution

The fourth proportional to 277,523.17, 382,981.99 and 150,198.77 is: 207,274.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,523.17 : 382,981.99 = 150,198.77 : x
  2. Step 2: Convert to fraction form
    277,523.17/382,981.99 = 150,198.77/x
  3. Step 3: Cross multiply
    277,523.17x = 382,981.99 × 150,198.77
  4. Step 4: Simplify right side
    277,523.17x = 57,523,423,830.15
  5. Step 5: Solve for x
    x = 57,523,423,830.15/277,523.17
  6. Step 6: Final answer
    x = 207,274.31

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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.