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Finding the Fourth Proportional to 255,821.25, 353,044.26 and 142,644

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Solution

The fourth proportional to 255,821.25, 353,044.26 and 142,644 is: 196,854.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,821.25 : 353,044.26 = 142,644 : x
  2. Step 2: Convert to fraction form
    255,821.25/353,044.26 = 142,644/x
  3. Step 3: Cross multiply
    255,821.25x = 353,044.26 × 142,644
  4. Step 4: Simplify right side
    255,821.25x = 50,359,645,423.44
  5. Step 5: Solve for x
    x = 50,359,645,423.44/255,821.25
  6. Step 6: Final answer
    x = 196,854.82

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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.