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Finding the Fourth Proportional to 133,574.43, 200,435.43 and 74,443.43

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Solution

The fourth proportional to 133,574.43, 200,435.43 and 74,443.43 is: 111,706.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,574.43 : 200,435.43 = 74,443.43 : x
  2. Step 2: Convert to fraction form
    133,574.43/200,435.43 = 74,443.43/x
  3. Step 3: Cross multiply
    133,574.43x = 200,435.43 × 74,443.43
  4. Step 4: Simplify right side
    133,574.43x = 14,921,099,900.55
  5. Step 5: Solve for x
    x = 14,921,099,900.55/133,574.43
  6. Step 6: Final answer
    x = 111,706.26

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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.