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Finding the Fourth Proportional to 118,746, 178,196.76 and 44,874

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Solution

The fourth proportional to 118,746, 178,196.76 and 44,874 is: 67,340.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,746 : 178,196.76 = 44,874 : x
  2. Step 2: Convert to fraction form
    118,746/178,196.76 = 44,874/x
  3. Step 3: Cross multiply
    118,746x = 178,196.76 × 44,874
  4. Step 4: Simplify right side
    118,746x = 7,996,401,408.24
  5. Step 5: Solve for x
    x = 7,996,401,408.24/118,746
  6. Step 6: Final answer
    x = 67,340.39

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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.