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Finding the Fourth Proportional to 203,452.88, 280,588.16 and 160,936.88

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Solution

The fourth proportional to 203,452.88, 280,588.16 and 160,936.88 is: 221,953.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,452.88 : 280,588.16 = 160,936.88 : x
  2. Step 2: Convert to fraction form
    203,452.88/280,588.16 = 160,936.88/x
  3. Step 3: Cross multiply
    203,452.88x = 280,588.16 × 160,936.88
  4. Step 4: Simplify right side
    203,452.88x = 45,156,983,035.34
  5. Step 5: Solve for x
    x = 45,156,983,035.34/203,452.88
  6. Step 6: Final answer
    x = 221,953.03

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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.