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Finding the Fourth Proportional to 200,514.49, 276,683.75 and 119,912.60

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Solution

The fourth proportional to 200,514.49, 276,683.75 and 119,912.60 is: 165,463.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,514.49 : 276,683.75 = 119,912.60 : x
  2. Step 2: Convert to fraction form
    200,514.49/276,683.75 = 119,912.60/x
  3. Step 3: Cross multiply
    200,514.49x = 276,683.75 × 119,912.60
  4. Step 4: Simplify right side
    200,514.49x = 33,177,868,382.07
  5. Step 5: Solve for x
    x = 33,177,868,382.07/200,514.49
  6. Step 6: Final answer
    x = 165,463.70

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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.