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Finding the Fourth Proportional to 213,992.85, 295,309.67 and 123,348.22

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Solution

The fourth proportional to 213,992.85, 295,309.67 and 123,348.22 is: 170,220.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,992.85 : 295,309.67 = 123,348.22 : x
  2. Step 2: Convert to fraction form
    213,992.85/295,309.67 = 123,348.22/x
  3. Step 3: Cross multiply
    213,992.85x = 295,309.67 × 123,348.22
  4. Step 4: Simplify right side
    213,992.85x = 36,425,920,788.27
  5. Step 5: Solve for x
    x = 36,425,920,788.27/213,992.85
  6. Step 6: Final answer
    x = 170,220.27

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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.