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Finding the Fourth Proportional to 179,809.40, 269,714.10 and 109,825.40

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Solution

The fourth proportional to 179,809.40, 269,714.10 and 109,825.40 is: 164,738.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    179,809.40 : 269,714.10 = 109,825.40 : x
  2. Step 2: Convert to fraction form
    179,809.40/269,714.10 = 109,825.40/x
  3. Step 3: Cross multiply
    179,809.40x = 269,714.10 × 109,825.40
  4. Step 4: Simplify right side
    179,809.40x = 29,621,458,918.14
  5. Step 5: Solve for x
    x = 29,621,458,918.14/179,809.40
  6. Step 6: Final answer
    x = 164,738.10

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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.