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Finding the Fourth Proportional to 133,872.83, 200,535.86 and 74,739.99

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Solution

The fourth proportional to 133,872.83, 200,535.86 and 74,739.99 is: 111,957.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,872.83 : 200,535.86 = 74,739.99 : x
  2. Step 2: Convert to fraction form
    133,872.83/200,535.86 = 74,739.99/x
  3. Step 3: Cross multiply
    133,872.83x = 200,535.86 × 74,739.99
  4. Step 4: Simplify right side
    133,872.83x = 14,988,049,109.90
  5. Step 5: Solve for x
    x = 14,988,049,109.90/133,872.83
  6. Step 6: Final answer
    x = 111,957.36

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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.