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Finding the Fourth Proportional to 200,659.37, 300,725.00 and 111,954.65

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Solution

The fourth proportional to 200,659.37, 300,725.00 and 111,954.65 is: 167,784.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,659.37 : 300,725.00 = 111,954.65 : x
  2. Step 2: Convert to fraction form
    200,659.37/300,725.00 = 111,954.65/x
  3. Step 3: Cross multiply
    200,659.37x = 300,725.00 × 111,954.65
  4. Step 4: Simplify right side
    200,659.37x = 33,667,561,561.48
  5. Step 5: Solve for x
    x = 33,667,561,561.48/200,659.37
  6. Step 6: Final answer
    x = 167,784.65

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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.