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Finding the Fourth Proportional to 263,301.36, 363,355.38 and 142,442.76

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Solution

The fourth proportional to 263,301.36, 363,355.38 and 142,442.76 is: 196,570.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,301.36 : 363,355.38 = 142,442.76 : x
  2. Step 2: Convert to fraction form
    263,301.36/363,355.38 = 142,442.76/x
  3. Step 3: Cross multiply
    263,301.36x = 363,355.38 × 142,442.76
  4. Step 4: Simplify right side
    263,301.36x = 51,757,343,188.05
  5. Step 5: Solve for x
    x = 51,757,343,188.05/263,301.36
  6. Step 6: Final answer
    x = 196,570.74

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.