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Finding the Fourth Proportional to 277,167.49, 382,491.63 and 149,843.07

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Solution

The fourth proportional to 277,167.49, 382,491.63 and 149,843.07 is: 206,783.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,167.49 : 382,491.63 = 149,843.07 : x
  2. Step 2: Convert to fraction form
    277,167.49/382,491.63 = 149,843.07/x
  3. Step 3: Cross multiply
    277,167.49x = 382,491.63 × 149,843.07
  4. Step 4: Simplify right side
    277,167.49x = 57,313,720,088.50
  5. Step 5: Solve for x
    x = 57,313,720,088.50/277,167.49
  6. Step 6: Final answer
    x = 206,783.71

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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.