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Finding the Fourth Proportional to 263,113.39, 363,096.45 and 142,254.66

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Solution

The fourth proportional to 263,113.39, 363,096.45 and 142,254.66 is: 196,311.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,113.39 : 363,096.45 = 142,254.66 : x
  2. Step 2: Convert to fraction form
    263,113.39/363,096.45 = 142,254.66/x
  3. Step 3: Cross multiply
    263,113.39x = 363,096.45 × 142,254.66
  4. Step 4: Simplify right side
    263,113.39x = 51,652,162,041.96
  5. Step 5: Solve for x
    x = 51,652,162,041.96/263,113.39
  6. Step 6: Final answer
    x = 196,311.42

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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.