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Finding the Fourth Proportional to 277,712.10, 416,325.15 and 188,676.90

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Solution

The fourth proportional to 277,712.10, 416,325.15 and 188,676.90 is: 282,850.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,712.10 : 416,325.15 = 188,676.90 : x
  2. Step 2: Convert to fraction form
    277,712.10/416,325.15 = 188,676.90/x
  3. Step 3: Cross multiply
    277,712.10x = 416,325.15 × 188,676.90
  4. Step 4: Simplify right side
    277,712.10x = 78,550,938,694.04
  5. Step 5: Solve for x
    x = 78,550,938,694.04/277,712.10
  6. Step 6: Final answer
    x = 282,850.26

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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.