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Finding the Fourth Proportional to 118,153.85, 177,257.11 and 33,907.44

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Solution

The fourth proportional to 118,153.85, 177,257.11 and 33,907.44 is: 50,868.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,153.85 : 177,257.11 = 33,907.44 : x
  2. Step 2: Convert to fraction form
    118,153.85/177,257.11 = 33,907.44/x
  3. Step 3: Cross multiply
    118,153.85x = 177,257.11 × 33,907.44
  4. Step 4: Simplify right side
    118,153.85x = 6,010,334,737.13
  5. Step 5: Solve for x
    x = 6,010,334,737.13/118,153.85
  6. Step 6: Final answer
    x = 50,868.72

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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.