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Finding the Fourth Proportional to 133,722.90, 200,584.35 and 114,039.90

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Solution

The fourth proportional to 133,722.90, 200,584.35 and 114,039.90 is: 171,059.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,722.90 : 200,584.35 = 114,039.90 : x
  2. Step 2: Convert to fraction form
    133,722.90/200,584.35 = 114,039.90/x
  3. Step 3: Cross multiply
    133,722.90x = 200,584.35 × 114,039.90
  4. Step 4: Simplify right side
    133,722.90x = 22,874,619,215.57
  5. Step 5: Solve for x
    x = 22,874,619,215.57/133,722.90
  6. Step 6: Final answer
    x = 171,059.85

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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.