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Finding the Fourth Proportional to 201,112.64, 301,667.29 and 81,167.75

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Solution

The fourth proportional to 201,112.64, 301,667.29 and 81,167.75 is: 121,750.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,112.64 : 301,667.29 = 81,167.75 : x
  2. Step 2: Convert to fraction form
    201,112.64/301,667.29 = 81,167.75/x
  3. Step 3: Cross multiply
    201,112.64x = 301,667.29 × 81,167.75
  4. Step 4: Simplify right side
    201,112.64x = 24,485,655,177.90
  5. Step 5: Solve for x
    x = 24,485,655,177.90/201,112.64
  6. Step 6: Final answer
    x = 121,750.95

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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.