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Finding the Fourth Proportional to 200,917.56, 301,184.64 and 67,729.08

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Solution

The fourth proportional to 200,917.56, 301,184.64 and 67,729.08 is: 101,529.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,917.56 : 301,184.64 = 67,729.08 : x
  2. Step 2: Convert to fraction form
    200,917.56/301,184.64 = 67,729.08/x
  3. Step 3: Cross multiply
    200,917.56x = 301,184.64 × 67,729.08
  4. Step 4: Simplify right side
    200,917.56x = 20,398,958,577.33
  5. Step 5: Solve for x
    x = 20,398,958,577.33/200,917.56
  6. Step 6: Final answer
    x = 101,529.00

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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.