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Finding the Fourth Proportional to 200,294.75, 276,406.74 and 109,650.44

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Solution

The fourth proportional to 200,294.75, 276,406.74 and 109,650.44 is: 151,317.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,294.75 : 276,406.74 = 109,650.44 : x
  2. Step 2: Convert to fraction form
    200,294.75/276,406.74 = 109,650.44/x
  3. Step 3: Cross multiply
    200,294.75x = 276,406.74 × 109,650.44
  4. Step 4: Simplify right side
    200,294.75x = 30,308,119,277.93
  5. Step 5: Solve for x
    x = 30,308,119,277.93/200,294.75
  6. Step 6: Final answer
    x = 151,317.59

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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.