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Finding the Fourth Proportional to 203,468.38, 280,729.09 and 160,314.09

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Solution

The fourth proportional to 203,468.38, 280,729.09 and 160,314.09 is: 221,188.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,468.38 : 280,729.09 = 160,314.09 : x
  2. Step 2: Convert to fraction form
    203,468.38/280,729.09 = 160,314.09/x
  3. Step 3: Cross multiply
    203,468.38x = 280,729.09 × 160,314.09
  4. Step 4: Simplify right side
    203,468.38x = 45,004,828,599.88
  5. Step 5: Solve for x
    x = 45,004,828,599.88/203,468.38
  6. Step 6: Final answer
    x = 221,188.32

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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.