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Finding the Fourth Proportional to 229,101.62, 343,514.30 and 102,719.03

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Solution

The fourth proportional to 229,101.62, 343,514.30 and 102,719.03 is: 154,016.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,101.62 : 343,514.30 = 102,719.03 : x
  2. Step 2: Convert to fraction form
    229,101.62/343,514.30 = 102,719.03/x
  3. Step 3: Cross multiply
    229,101.62x = 343,514.30 × 102,719.03
  4. Step 4: Simplify right side
    229,101.62x = 35,285,453,455.96
  5. Step 5: Solve for x
    x = 35,285,453,455.96/229,101.62
  6. Step 6: Final answer
    x = 154,016.61

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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.