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Finding the Fourth Proportional to 118,650.78, 177,976.14 and 35,544.78

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Solution

The fourth proportional to 118,650.78, 177,976.14 and 35,544.78 is: 53,317.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,650.78 : 177,976.14 = 35,544.78 : x
  2. Step 2: Convert to fraction form
    118,650.78/177,976.14 = 35,544.78/x
  3. Step 3: Cross multiply
    118,650.78x = 177,976.14 × 35,544.78
  4. Step 4: Simplify right side
    118,650.78x = 6,326,122,741.55
  5. Step 5: Solve for x
    x = 6,326,122,741.55/118,650.78
  6. Step 6: Final answer
    x = 53,317.16

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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.