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Finding the Fourth Proportional to 214,201.80, 295,229.52 and 142,453.62

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Solution

The fourth proportional to 214,201.80, 295,229.52 and 142,453.62 is: 196,340.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,201.80 : 295,229.52 = 142,453.62 : x
  2. Step 2: Convert to fraction form
    214,201.80/295,229.52 = 142,453.62/x
  3. Step 3: Cross multiply
    214,201.80x = 295,229.52 × 142,453.62
  4. Step 4: Simplify right side
    214,201.80x = 42,056,513,854.86
  5. Step 5: Solve for x
    x = 42,056,513,854.86/214,201.80
  6. Step 6: Final answer
    x = 196,340.62

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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.