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Finding the Fourth Proportional to 200,514.25, 276,699.12 and 114,469.84

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Solution

The fourth proportional to 200,514.25, 276,699.12 and 114,469.84 is: 157,962.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,514.25 : 276,699.12 = 114,469.84 : x
  2. Step 2: Convert to fraction form
    200,514.25/276,699.12 = 114,469.84/x
  3. Step 3: Cross multiply
    200,514.25x = 276,699.12 × 114,469.84
  4. Step 4: Simplify right side
    200,514.25x = 31,673,702,611.05
  5. Step 5: Solve for x
    x = 31,673,702,611.05/200,514.25
  6. Step 6: Final answer
    x = 157,962.36

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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.