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Finding the Fourth Proportional to 200,999.80, 301,730.10 and 117,940.60

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Solution

The fourth proportional to 200,999.80, 301,730.10 and 117,940.60 is: 177,046.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,999.80 : 301,730.10 = 117,940.60 : x
  2. Step 2: Convert to fraction form
    200,999.80/301,730.10 = 117,940.60/x
  3. Step 3: Cross multiply
    200,999.80x = 301,730.10 × 117,940.60
  4. Step 4: Simplify right side
    200,999.80x = 35,586,229,032.06
  5. Step 5: Solve for x
    x = 35,586,229,032.06/200,999.80
  6. Step 6: Final answer
    x = 177,046.09

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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.