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Finding the Fourth Proportional to 258,207.76, 356,394.38 and 145,066.96

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Solution

The fourth proportional to 258,207.76, 356,394.38 and 145,066.96 is: 200,230.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,207.76 : 356,394.38 = 145,066.96 : x
  2. Step 2: Convert to fraction form
    258,207.76/356,394.38 = 145,066.96/x
  3. Step 3: Cross multiply
    258,207.76x = 356,394.38 × 145,066.96
  4. Step 4: Simplify right side
    258,207.76x = 51,701,048,542.35
  5. Step 5: Solve for x
    x = 51,701,048,542.35/258,207.76
  6. Step 6: Final answer
    x = 200,230.42

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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.