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Finding the Fourth Proportional to 356,068.75, 491,383.53 and 194,923.30

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Solution

The fourth proportional to 356,068.75, 491,383.53 and 194,923.30 is: 268,998.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    356,068.75 : 491,383.53 = 194,923.30 : x
  2. Step 2: Convert to fraction form
    356,068.75/491,383.53 = 194,923.30/x
  3. Step 3: Cross multiply
    356,068.75x = 491,383.53 × 194,923.30
  4. Step 4: Simplify right side
    356,068.75x = 95,782,099,233.25
  5. Step 5: Solve for x
    x = 95,782,099,233.25/356,068.75
  6. Step 6: Final answer
    x = 268,998.89

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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.