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Finding the Fourth Proportional to 133,567.84, 200,552.46 and 127,147.96

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Solution

The fourth proportional to 133,567.84, 200,552.46 and 127,147.96 is: 190,912.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,567.84 : 200,552.46 = 127,147.96 : x
  2. Step 2: Convert to fraction form
    133,567.84/200,552.46 = 127,147.96/x
  3. Step 3: Cross multiply
    133,567.84x = 200,552.46 × 127,147.96
  4. Step 4: Simplify right side
    133,567.84x = 25,499,836,161.98
  5. Step 5: Solve for x
    x = 25,499,836,161.98/133,567.84
  6. Step 6: Final answer
    x = 190,912.99

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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.