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Finding the Fourth Proportional to 213,454.19, 320,215.85 and 65,675.63

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Solution

The fourth proportional to 213,454.19, 320,215.85 and 65,675.63 is: 98,524.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,454.19 : 320,215.85 = 65,675.63 : x
  2. Step 2: Convert to fraction form
    213,454.19/320,215.85 = 65,675.63/x
  3. Step 3: Cross multiply
    213,454.19x = 320,215.85 × 65,675.63
  4. Step 4: Simplify right side
    213,454.19x = 21,030,375,755.28
  5. Step 5: Solve for x
    x = 21,030,375,755.28/213,454.19
  6. Step 6: Final answer
    x = 98,524.07

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.