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Finding the Fourth Proportional to 255,333.25, 352,370.82 and 142,156

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Solution

The fourth proportional to 255,333.25, 352,370.82 and 142,156 is: 196,181.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,333.25 : 352,370.82 = 142,156 : x
  2. Step 2: Convert to fraction form
    255,333.25/352,370.82 = 142,156/x
  3. Step 3: Cross multiply
    255,333.25x = 352,370.82 × 142,156
  4. Step 4: Simplify right side
    255,333.25x = 50,091,626,287.92
  5. Step 5: Solve for x
    x = 50,091,626,287.92/255,333.25
  6. Step 6: Final answer
    x = 196,181.37

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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.