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Finding the Fourth Proportional to 203,753.14, 280,872.02 and 160,658.30

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Solution

The fourth proportional to 203,753.14, 280,872.02 and 160,658.30 is: 221,466.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,753.14 : 280,872.02 = 160,658.30 : x
  2. Step 2: Convert to fraction form
    203,753.14/280,872.02 = 160,658.30/x
  3. Step 3: Cross multiply
    203,753.14x = 280,872.02 × 160,658.30
  4. Step 4: Simplify right side
    203,753.14x = 45,124,422,354.59
  5. Step 5: Solve for x
    x = 45,124,422,354.59/203,753.14
  6. Step 6: Final answer
    x = 221,466.15

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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.