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Finding the Fourth Proportional to 255,676.29, 352,835.73 and 140,959.12

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Solution

The fourth proportional to 255,676.29, 352,835.73 and 140,959.12 is: 194,524.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,676.29 : 352,835.73 = 140,959.12 : x
  2. Step 2: Convert to fraction form
    255,676.29/352,835.73 = 140,959.12/x
  3. Step 3: Cross multiply
    255,676.29x = 352,835.73 × 140,959.12
  4. Step 4: Simplify right side
    255,676.29x = 49,735,414,005.36
  5. Step 5: Solve for x
    x = 49,735,414,005.36/255,676.29
  6. Step 6: Final answer
    x = 194,524.94

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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.