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Finding the Fourth Proportional to 195,597.76, 269,929.20 and 119,120.44

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Solution

The fourth proportional to 195,597.76, 269,929.20 and 119,120.44 is: 164,388.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    195,597.76 : 269,929.20 = 119,120.44 : x
  2. Step 2: Convert to fraction form
    195,597.76/269,929.20 = 119,120.44/x
  3. Step 3: Cross multiply
    195,597.76x = 269,929.20 × 119,120.44
  4. Step 4: Simplify right side
    195,597.76x = 32,154,085,072.85
  5. Step 5: Solve for x
    x = 32,154,085,072.85/195,597.76
  6. Step 6: Final answer
    x = 164,388.82

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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.