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Finding the Fourth Proportional to 195,514.58, 269,809.17 and 106,090.58

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Solution

The fourth proportional to 195,514.58, 269,809.17 and 106,090.58 is: 146,404.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    195,514.58 : 269,809.17 = 106,090.58 : x
  2. Step 2: Convert to fraction form
    195,514.58/269,809.17 = 106,090.58/x
  3. Step 3: Cross multiply
    195,514.58x = 269,809.17 × 106,090.58
  4. Step 4: Simplify right side
    195,514.58x = 28,624,211,334.62
  5. Step 5: Solve for x
    x = 28,624,211,334.62/195,514.58
  6. Step 6: Final answer
    x = 146,404.48

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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.