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Finding the Fourth Proportional to 205,513.80, 308,303.10 and 65,286.60

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Solution

The fourth proportional to 205,513.80, 308,303.10 and 65,286.60 is: 97,940.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,513.80 : 308,303.10 = 65,286.60 : x
  2. Step 2: Convert to fraction form
    205,513.80/308,303.10 = 65,286.60/x
  3. Step 3: Cross multiply
    205,513.80x = 308,303.10 × 65,286.60
  4. Step 4: Simplify right side
    205,513.80x = 20,128,061,168.46
  5. Step 5: Solve for x
    x = 20,128,061,168.46/205,513.80
  6. Step 6: Final answer
    x = 97,940.19

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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.