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Finding the Fourth Proportional to 205,882.96, 308,821.20 and 65,640.64

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Solution

The fourth proportional to 205,882.96, 308,821.20 and 65,640.64 is: 98,459.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,882.96 : 308,821.20 = 65,640.64 : x
  2. Step 2: Convert to fraction form
    205,882.96/308,821.20 = 65,640.64/x
  3. Step 3: Cross multiply
    205,882.96x = 308,821.20 × 65,640.64
  4. Step 4: Simplify right side
    205,882.96x = 20,271,221,213.57
  5. Step 5: Solve for x
    x = 20,271,221,213.57/205,882.96
  6. Step 6: Final answer
    x = 98,459.93

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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.