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Finding the Fourth Proportional to 263,135.49, 363,126.96 and 142,276.74

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Solution

The fourth proportional to 263,135.49, 363,126.96 and 142,276.74 is: 196,341.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,135.49 : 363,126.96 = 142,276.74 : x
  2. Step 2: Convert to fraction form
    263,135.49/363,126.96 = 142,276.74/x
  3. Step 3: Cross multiply
    263,135.49x = 363,126.96 × 142,276.74
  4. Step 4: Simplify right side
    263,135.49x = 51,664,520,074.91
  5. Step 5: Solve for x
    x = 51,664,520,074.91/263,135.49
  6. Step 6: Final answer
    x = 196,341.89

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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.