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Finding the Fourth Proportional to 200,563.28, 276,780.56 and 109,927.92

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Solution

The fourth proportional to 200,563.28, 276,780.56 and 109,927.92 is: 151,702.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,563.28 : 276,780.56 = 109,927.92 : x
  2. Step 2: Convert to fraction form
    200,563.28/276,780.56 = 109,927.92/x
  3. Step 3: Cross multiply
    200,563.28x = 276,780.56 × 109,927.92
  4. Step 4: Simplify right side
    200,563.28x = 30,425,911,257.24
  5. Step 5: Solve for x
    x = 30,425,911,257.24/200,563.28
  6. Step 6: Final answer
    x = 151,702.30

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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.