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Finding the Fourth Proportional to 200,523.67, 276,722.73 and 109,878.90

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Solution

The fourth proportional to 200,523.67, 276,722.73 and 109,878.90 is: 151,632.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,523.67 : 276,722.73 = 109,878.90 : x
  2. Step 2: Convert to fraction form
    200,523.67/276,722.73 = 109,878.90/x
  3. Step 3: Cross multiply
    200,523.67x = 276,722.73 × 109,878.90
  4. Step 4: Simplify right side
    200,523.67x = 30,405,989,177.40
  5. Step 5: Solve for x
    x = 30,405,989,177.40/200,523.67
  6. Step 6: Final answer
    x = 151,632.92

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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.