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Finding the Fourth Proportional to 205,765.11, 308,659.71 and 79,406.02

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Solution

The fourth proportional to 205,765.11, 308,659.71 and 79,406.02 is: 119,113.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,765.11 : 308,659.71 = 79,406.02 : x
  2. Step 2: Convert to fraction form
    205,765.11/308,659.71 = 79,406.02/x
  3. Step 3: Cross multiply
    205,765.11x = 308,659.71 × 79,406.02
  4. Step 4: Simplify right side
    205,765.11x = 24,509,439,789.05
  5. Step 5: Solve for x
    x = 24,509,439,789.05/205,765.11
  6. Step 6: Final answer
    x = 119,113.68

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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.