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Finding the Fourth Proportional to 146,048.30, 218,910.45 and 57,272.30

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Solution

The fourth proportional to 146,048.30, 218,910.45 and 57,272.30 is: 85,844.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,048.30 : 218,910.45 = 57,272.30 : x
  2. Step 2: Convert to fraction form
    146,048.30/218,910.45 = 57,272.30/x
  3. Step 3: Cross multiply
    146,048.30x = 218,910.45 × 57,272.30
  4. Step 4: Simplify right side
    146,048.30x = 12,537,504,965.54
  5. Step 5: Solve for x
    x = 12,537,504,965.54/146,048.30
  6. Step 6: Final answer
    x = 85,844.92

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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.