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Finding the Fourth Proportional to 301,007.85, 415,409.49 and 166,871.85

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Solution

The fourth proportional to 301,007.85, 415,409.49 and 166,871.85 is: 230,293.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,007.85 : 415,409.49 = 166,871.85 : x
  2. Step 2: Convert to fraction form
    301,007.85/415,409.49 = 166,871.85/x
  3. Step 3: Cross multiply
    301,007.85x = 415,409.49 × 166,871.85
  4. Step 4: Simplify right side
    301,007.85x = 69,320,149,950.73
  5. Step 5: Solve for x
    x = 69,320,149,950.73/301,007.85
  6. Step 6: Final answer
    x = 230,293.50

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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.