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Finding the Fourth Proportional to 203,469.84, 304,811.16 and 114,452.88

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Solution

The fourth proportional to 203,469.84, 304,811.16 and 114,452.88 is: 171,457.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,469.84 : 304,811.16 = 114,452.88 : x
  2. Step 2: Convert to fraction form
    203,469.84/304,811.16 = 114,452.88/x
  3. Step 3: Cross multiply
    203,469.84x = 304,811.16 × 114,452.88
  4. Step 4: Simplify right side
    203,469.84x = 34,886,515,118.14
  5. Step 5: Solve for x
    x = 34,886,515,118.14/203,469.84
  6. Step 6: Final answer
    x = 171,457.92

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.