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Finding the Fourth Proportional to 277,167.94, 382,491.66 and 149,843.50

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Solution

The fourth proportional to 277,167.94, 382,491.66 and 149,843.50 is: 206,783.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,167.94 : 382,491.66 = 149,843.50 : x
  2. Step 2: Convert to fraction form
    277,167.94/382,491.66 = 149,843.50/x
  3. Step 3: Cross multiply
    277,167.94x = 382,491.66 × 149,843.50
  4. Step 4: Simplify right side
    277,167.94x = 57,313,889,055.21
  5. Step 5: Solve for x
    x = 57,313,889,055.21/277,167.94
  6. Step 6: Final answer
    x = 206,783.98

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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.