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Finding the Fourth Proportional to 277,523.75, 382,983.90 and 150,199.31

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Solution

The fourth proportional to 277,523.75, 382,983.90 and 150,199.31 is: 207,275.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,523.75 : 382,983.90 = 150,199.31 : x
  2. Step 2: Convert to fraction form
    277,523.75/382,983.90 = 150,199.31/x
  3. Step 3: Cross multiply
    277,523.75x = 382,983.90 × 150,199.31
  4. Step 4: Simplify right side
    277,523.75x = 57,523,915,606.19
  5. Step 5: Solve for x
    x = 57,523,915,606.19/277,523.75
  6. Step 6: Final answer
    x = 207,275.65

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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.