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Finding the Fourth Proportional to 356,051.07, 491,351.83 and 194,921.11

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Solution

The fourth proportional to 356,051.07, 491,351.83 and 194,921.11 is: 268,991.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    356,051.07 : 491,351.83 = 194,921.11 : x
  2. Step 2: Convert to fraction form
    356,051.07/491,351.83 = 194,921.11/x
  3. Step 3: Cross multiply
    356,051.07x = 491,351.83 × 194,921.11
  4. Step 4: Simplify right side
    356,051.07x = 95,774,844,231.02
  5. Step 5: Solve for x
    x = 95,774,844,231.02/356,051.07
  6. Step 6: Final answer
    x = 268,991.87

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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.