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Finding the Fourth Proportional to 277,213.84, 382,555.32 and 149,889.52

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Solution

The fourth proportional to 277,213.84, 382,555.32 and 149,889.52 is: 206,847.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,213.84 : 382,555.32 = 149,889.52 : x
  2. Step 2: Convert to fraction form
    277,213.84/382,555.32 = 149,889.52/x
  3. Step 3: Cross multiply
    277,213.84x = 382,555.32 × 149,889.52
  4. Step 4: Simplify right side
    277,213.84x = 57,341,033,288.25
  5. Step 5: Solve for x
    x = 57,341,033,288.25/277,213.84
  6. Step 6: Final answer
    x = 206,847.66

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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.