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Finding the Fourth Proportional to 276,992.88, 382,250.43 and 149,668.80

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Solution

The fourth proportional to 276,992.88, 382,250.43 and 149,668.80 is: 206,543.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,992.88 : 382,250.43 = 149,668.80 : x
  2. Step 2: Convert to fraction form
    276,992.88/382,250.43 = 149,668.80/x
  3. Step 3: Cross multiply
    276,992.88x = 382,250.43 × 149,668.80
  4. Step 4: Simplify right side
    276,992.88x = 57,210,963,157.58
  5. Step 5: Solve for x
    x = 57,210,963,157.58/276,992.88
  6. Step 6: Final answer
    x = 206,543.08

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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.