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Finding the Fourth Proportional to 200,504.46, 300,693.09 and 65,538.01

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Solution

The fourth proportional to 200,504.46, 300,693.09 and 65,538.01 is: 98,286.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,504.46 : 300,693.09 = 65,538.01 : x
  2. Step 2: Convert to fraction form
    200,504.46/300,693.09 = 65,538.01/x
  3. Step 3: Cross multiply
    200,504.46x = 300,693.09 × 65,538.01
  4. Step 4: Simplify right side
    200,504.46x = 19,706,826,739.35
  5. Step 5: Solve for x
    x = 19,706,826,739.35/200,504.46
  6. Step 6: Final answer
    x = 98,286.23

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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.