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Finding the Fourth Proportional to 200,659.56, 300,986.28 and 48,858.06

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Solution

The fourth proportional to 200,659.56, 300,986.28 and 48,858.06 is: 73,286.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,659.56 : 300,986.28 = 48,858.06 : x
  2. Step 2: Convert to fraction form
    200,659.56/300,986.28 = 48,858.06/x
  3. Step 3: Cross multiply
    200,659.56x = 300,986.28 × 48,858.06
  4. Step 4: Simplify right side
    200,659.56x = 14,705,605,727.42
  5. Step 5: Solve for x
    x = 14,705,605,727.42/200,659.56
  6. Step 6: Final answer
    x = 73,286.34

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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.