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Finding the Fourth Proportional to 205,469.40, 308,009.70 and 121,294.20

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Solution

The fourth proportional to 205,469.40, 308,009.70 and 121,294.20 is: 181,826.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,469.40 : 308,009.70 = 121,294.20 : x
  2. Step 2: Convert to fraction form
    205,469.40/308,009.70 = 121,294.20/x
  3. Step 3: Cross multiply
    205,469.40x = 308,009.70 × 121,294.20
  4. Step 4: Simplify right side
    205,469.40x = 37,359,790,153.74
  5. Step 5: Solve for x
    x = 37,359,790,153.74/205,469.40
  6. Step 6: Final answer
    x = 181,826.54

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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.