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Finding the Fourth Proportional to 213,893.57, 295,204.22 and 123,231.89

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Solution

The fourth proportional to 213,893.57, 295,204.22 and 123,231.89 is: 170,077.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,893.57 : 295,204.22 = 123,231.89 : x
  2. Step 2: Convert to fraction form
    213,893.57/295,204.22 = 123,231.89/x
  3. Step 3: Cross multiply
    213,893.57x = 295,204.22 × 123,231.89
  4. Step 4: Simplify right side
    213,893.57x = 36,378,571,874.40
  5. Step 5: Solve for x
    x = 36,378,571,874.40/213,893.57
  6. Step 6: Final answer
    x = 170,077.92

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.