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Finding the Fourth Proportional to 263,509.33, 363,642.80 and 142,650.53

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Solution

The fourth proportional to 263,509.33, 363,642.80 and 142,650.53 is: 196,857.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,509.33 : 363,642.80 = 142,650.53 : x
  2. Step 2: Convert to fraction form
    263,509.33/363,642.80 = 142,650.53/x
  3. Step 3: Cross multiply
    263,509.33x = 363,642.80 × 142,650.53
  4. Step 4: Simplify right side
    263,509.33x = 51,873,835,619.22
  5. Step 5: Solve for x
    x = 51,873,835,619.22/263,509.33
  6. Step 6: Final answer
    x = 196,857.68

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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.