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Finding the Fourth Proportional to 223,843.14, 335,712.06 and 143,638.56

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Solution

The fourth proportional to 223,843.14, 335,712.06 and 143,638.56 is: 215,424.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,843.14 : 335,712.06 = 143,638.56 : x
  2. Step 2: Convert to fraction form
    223,843.14/335,712.06 = 143,638.56/x
  3. Step 3: Cross multiply
    223,843.14x = 335,712.06 × 143,638.56
  4. Step 4: Simplify right side
    223,843.14x = 48,221,196,873.03
  5. Step 5: Solve for x
    x = 48,221,196,873.03/223,843.14
  6. Step 6: Final answer
    x = 215,424.05

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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.