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Finding the Fourth Proportional to 263,151.14, 363,148.31 and 142,292.14

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Solution

The fourth proportional to 263,151.14, 363,148.31 and 142,292.14 is: 196,363.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,151.14 : 363,148.31 = 142,292.14 : x
  2. Step 2: Convert to fraction form
    263,151.14/363,148.31 = 142,292.14/x
  3. Step 3: Cross multiply
    263,151.14x = 363,148.31 × 142,292.14
  4. Step 4: Simplify right side
    263,151.14x = 51,673,149,615.14
  5. Step 5: Solve for x
    x = 51,673,149,615.14/263,151.14
  6. Step 6: Final answer
    x = 196,363.01

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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.