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Finding the Fourth Proportional to 200,357.40, 300,059.00 and 115,939.60

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Solution

The fourth proportional to 200,357.40, 300,059.00 and 115,939.60 is: 173,633.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,357.40 : 300,059.00 = 115,939.60 : x
  2. Step 2: Convert to fraction form
    200,357.40/300,059.00 = 115,939.60/x
  3. Step 3: Cross multiply
    200,357.40x = 300,059.00 × 115,939.60
  4. Step 4: Simplify right side
    200,357.40x = 34,788,720,726.25
  5. Step 5: Solve for x
    x = 34,788,720,726.25/200,357.40
  6. Step 6: Final answer
    x = 173,633.33

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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.