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Finding the Fourth Proportional to 213,194.76, 294,222.96 and 141,451.44

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Solution

The fourth proportional to 213,194.76, 294,222.96 and 141,451.44 is: 195,212.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,194.76 : 294,222.96 = 141,451.44 : x
  2. Step 2: Convert to fraction form
    213,194.76/294,222.96 = 141,451.44/x
  3. Step 3: Cross multiply
    213,194.76x = 294,222.96 × 141,451.44
  4. Step 4: Simplify right side
    213,194.76x = 41,618,261,373.06
  5. Step 5: Solve for x
    x = 41,618,261,373.06/213,194.76
  6. Step 6: Final answer
    x = 195,212.40

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