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Finding the Fourth Proportional to 243,857.82, 335,775.96 and 213,473.10

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Solution

The fourth proportional to 243,857.82, 335,775.96 and 213,473.10 is: 293,938.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    243,857.82 : 335,775.96 = 213,473.10 : x
  2. Step 2: Convert to fraction form
    243,857.82/335,775.96 = 213,473.10/x
  3. Step 3: Cross multiply
    243,857.82x = 335,775.96 × 213,473.10
  4. Step 4: Simplify right side
    243,857.82x = 71,679,135,086.68
  5. Step 5: Solve for x
    x = 71,679,135,086.68/243,857.82
  6. Step 6: Final answer
    x = 293,938.23

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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.