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Finding the Fourth Proportional to 118,469.90, 178,093.65 and 83,650.70

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Solution

The fourth proportional to 118,469.90, 178,093.65 and 83,650.70 is: 125,750.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,469.90 : 178,093.65 = 83,650.70 : x
  2. Step 2: Convert to fraction form
    118,469.90/178,093.65 = 83,650.70/x
  3. Step 3: Cross multiply
    118,469.90x = 178,093.65 × 83,650.70
  4. Step 4: Simplify right side
    118,469.90x = 14,897,658,488.06
  5. Step 5: Solve for x
    x = 14,897,658,488.06/118,469.90
  6. Step 6: Final answer
    x = 125,750.58

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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.