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Finding the Fourth Proportional to 133,757.97, 200,641.29 and 49,539.36

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Solution

The fourth proportional to 133,757.97, 200,641.29 and 49,539.36 is: 74,310.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,757.97 : 200,641.29 = 49,539.36 : x
  2. Step 2: Convert to fraction form
    133,757.97/200,641.29 = 49,539.36/x
  3. Step 3: Cross multiply
    133,757.97x = 200,641.29 × 49,539.36
  4. Step 4: Simplify right side
    133,757.97x = 9,939,641,096.17
  5. Step 5: Solve for x
    x = 9,939,641,096.17/133,757.97
  6. Step 6: Final answer
    x = 74,310.65

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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.