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Finding the Fourth Proportional to 200,339.90, 276,469.00 and 109,695.84

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Solution

The fourth proportional to 200,339.90, 276,469.00 and 109,695.84 is: 151,380.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,339.90 : 276,469.00 = 109,695.84 : x
  2. Step 2: Convert to fraction form
    200,339.90/276,469.00 = 109,695.84/x
  3. Step 3: Cross multiply
    200,339.90x = 276,469.00 × 109,695.84
  4. Step 4: Simplify right side
    200,339.90x = 30,327,497,877.96
  5. Step 5: Solve for x
    x = 30,327,497,877.96/200,339.90
  6. Step 6: Final answer
    x = 151,380.22

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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.