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Finding the Fourth Proportional to 276,914.64, 382,142.19 and 149,590.23

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Solution

The fourth proportional to 276,914.64, 382,142.19 and 149,590.23 is: 206,434.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,914.64 : 382,142.19 = 149,590.23 : x
  2. Step 2: Convert to fraction form
    276,914.64/382,142.19 = 149,590.23/x
  3. Step 3: Cross multiply
    276,914.64x = 382,142.19 × 149,590.23
  4. Step 4: Simplify right side
    276,914.64x = 57,164,738,094.80
  5. Step 5: Solve for x
    x = 57,164,738,094.80/276,914.64
  6. Step 6: Final answer
    x = 206,434.51

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.