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Finding the Fourth Proportional to 133,858.50, 200,787.75 and 50,752.50

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Solution

The fourth proportional to 133,858.50, 200,787.75 and 50,752.50 is: 76,128.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,858.50 : 200,787.75 = 50,752.50 : x
  2. Step 2: Convert to fraction form
    133,858.50/200,787.75 = 50,752.50/x
  3. Step 3: Cross multiply
    133,858.50x = 200,787.75 × 50,752.50
  4. Step 4: Simplify right side
    133,858.50x = 10,190,480,281.88
  5. Step 5: Solve for x
    x = 10,190,480,281.88/133,858.50
  6. Step 6: Final answer
    x = 76,128.75

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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.