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Finding the Fourth Proportional to 200,858.28, 301,338.04 and 141,809.28

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Solution

The fourth proportional to 200,858.28, 301,338.04 and 141,809.28 is: 212,749.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,858.28 : 301,338.04 = 141,809.28 : x
  2. Step 2: Convert to fraction form
    200,858.28/301,338.04 = 141,809.28/x
  3. Step 3: Cross multiply
    200,858.28x = 301,338.04 × 141,809.28
  4. Step 4: Simplify right side
    200,858.28x = 42,732,530,489.01
  5. Step 5: Solve for x
    x = 42,732,530,489.01/200,858.28
  6. Step 6: Final answer
    x = 212,749.66

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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.