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Finding the Fourth Proportional to 265,892.34, 367,066.86 and 205,327.02

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Solution

The fourth proportional to 265,892.34, 367,066.86 and 205,327.02 is: 283,455.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,892.34 : 367,066.86 = 205,327.02 : x
  2. Step 2: Convert to fraction form
    265,892.34/367,066.86 = 205,327.02/x
  3. Step 3: Cross multiply
    265,892.34x = 367,066.86 × 205,327.02
  4. Step 4: Simplify right side
    265,892.34x = 75,368,744,504.56
  5. Step 5: Solve for x
    x = 75,368,744,504.56/265,892.34
  6. Step 6: Final answer
    x = 283,455.87

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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.