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Finding the Fourth Proportional to 140,951.82, 211,046.34 and 103,226.07

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Solution

The fourth proportional to 140,951.82, 211,046.34 and 103,226.07 is: 154,559.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,951.82 : 211,046.34 = 103,226.07 : x
  2. Step 2: Convert to fraction form
    140,951.82/211,046.34 = 103,226.07/x
  3. Step 3: Cross multiply
    140,951.82x = 211,046.34 × 103,226.07
  4. Step 4: Simplify right side
    140,951.82x = 21,785,484,266.08
  5. Step 5: Solve for x
    x = 21,785,484,266.08/140,951.82
  6. Step 6: Final answer
    x = 154,559.79

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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.