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Finding the Fourth Proportional to 204,771.96, 307,296.34 and 71,653.37

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Solution

The fourth proportional to 204,771.96, 307,296.34 and 71,653.37 is: 107,528.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,771.96 : 307,296.34 = 71,653.37 : x
  2. Step 2: Convert to fraction form
    204,771.96/307,296.34 = 71,653.37/x
  3. Step 3: Cross multiply
    204,771.96x = 307,296.34 × 71,653.37
  4. Step 4: Simplify right side
    204,771.96x = 22,018,818,349.67
  5. Step 5: Solve for x
    x = 22,018,818,349.67/204,771.96
  6. Step 6: Final answer
    x = 107,528.48

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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.