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Finding the Fourth Proportional to 118,650.78, 178,005.30 and 35,544.78

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Solution

The fourth proportional to 118,650.78, 178,005.30 and 35,544.78 is: 53,325.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,650.78 : 178,005.30 = 35,544.78 : x
  2. Step 2: Convert to fraction form
    118,650.78/178,005.30 = 35,544.78/x
  3. Step 3: Cross multiply
    118,650.78x = 178,005.30 × 35,544.78
  4. Step 4: Simplify right side
    118,650.78x = 6,327,159,227.33
  5. Step 5: Solve for x
    x = 6,327,159,227.33/118,650.78
  6. Step 6: Final answer
    x = 53,325.90

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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.