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Finding the Fourth Proportional to 118,500.84, 177,751.44 and 47,455.47

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Solution

The fourth proportional to 118,500.84, 177,751.44 and 47,455.47 is: 71,183.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,500.84 : 177,751.44 = 47,455.47 : x
  2. Step 2: Convert to fraction form
    118,500.84/177,751.44 = 47,455.47/x
  3. Step 3: Cross multiply
    118,500.84x = 177,751.44 × 47,455.47
  4. Step 4: Simplify right side
    118,500.84x = 8,435,278,128.38
  5. Step 5: Solve for x
    x = 8,435,278,128.38/118,500.84
  6. Step 6: Final answer
    x = 71,183.28

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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.