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Finding the Fourth Proportional to 144,765.77, 217,177.67 and 49,999.43

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Solution

The fourth proportional to 144,765.77, 217,177.67 and 49,999.43 is: 75,009.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,765.77 : 217,177.67 = 49,999.43 : x
  2. Step 2: Convert to fraction form
    144,765.77/217,177.67 = 49,999.43/x
  3. Step 3: Cross multiply
    144,765.77x = 217,177.67 × 49,999.43
  4. Step 4: Simplify right side
    144,765.77x = 10,858,759,708.73
  5. Step 5: Solve for x
    x = 10,858,759,708.73/144,765.77
  6. Step 6: Final answer
    x = 75,009.17

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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.