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Finding the Fourth Proportional to 133,667.36, 200,423.20 and 50,567.84

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Solution

The fourth proportional to 133,667.36, 200,423.20 and 50,567.84 is: 75,822.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,667.36 : 200,423.20 = 50,567.84 : x
  2. Step 2: Convert to fraction form
    133,667.36/200,423.20 = 50,567.84/x
  3. Step 3: Cross multiply
    133,667.36x = 200,423.20 × 50,567.84
  4. Step 4: Simplify right side
    133,667.36x = 10,134,968,309.89
  5. Step 5: Solve for x
    x = 10,134,968,309.89/133,667.36
  6. Step 6: Final answer
    x = 75,822.31

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.