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Finding the Fourth Proportional to 263,423.36, 363,524.68 and 142,564.77

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Solution

The fourth proportional to 263,423.36, 363,524.68 and 142,564.77 is: 196,739.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,423.36 : 363,524.68 = 142,564.77 : x
  2. Step 2: Convert to fraction form
    263,423.36/363,524.68 = 142,564.77/x
  3. Step 3: Cross multiply
    263,423.36x = 363,524.68 × 142,564.77
  4. Step 4: Simplify right side
    263,423.36x = 51,825,812,393.52
  5. Step 5: Solve for x
    x = 51,825,812,393.52/263,423.36
  6. Step 6: Final answer
    x = 196,739.62

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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.