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Finding the Fourth Proportional to 200,434.09, 300,675.89 and 65,494.97

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Solution

The fourth proportional to 200,434.09, 300,675.89 and 65,494.97 is: 98,250.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,434.09 : 300,675.89 = 65,494.97 : x
  2. Step 2: Convert to fraction form
    200,434.09/300,675.89 = 65,494.97/x
  3. Step 3: Cross multiply
    200,434.09x = 300,675.89 × 65,494.97
  4. Step 4: Simplify right side
    200,434.09x = 19,692,758,395.27
  5. Step 5: Solve for x
    x = 19,692,758,395.27/200,434.09
  6. Step 6: Final answer
    x = 98,250.54

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1.5x scale

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.