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Finding the Fourth Proportional to 133,872.89, 200,535.96 and 74,740.06

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Solution

The fourth proportional to 133,872.89, 200,535.96 and 74,740.06 is: 111,957.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,872.89 : 200,535.96 = 74,740.06 : x
  2. Step 2: Convert to fraction form
    133,872.89/200,535.96 = 74,740.06/x
  3. Step 3: Cross multiply
    133,872.89x = 200,535.96 × 74,740.06
  4. Step 4: Simplify right side
    133,872.89x = 14,988,069,682.56
  5. Step 5: Solve for x
    x = 14,988,069,682.56/133,872.89
  6. Step 6: Final answer
    x = 111,957.47

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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.