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Finding the Fourth Proportional to 361,357.22, 541,825.70 and 136,735.00

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Solution

The fourth proportional to 361,357.22, 541,825.70 and 136,735.00 is: 205,022.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,357.22 : 541,825.70 = 136,735.00 : x
  2. Step 2: Convert to fraction form
    361,357.22/541,825.70 = 136,735.00/x
  3. Step 3: Cross multiply
    361,357.22x = 541,825.70 × 136,735.00
  4. Step 4: Simplify right side
    361,357.22x = 74,086,535,051.26
  5. Step 5: Solve for x
    x = 74,086,535,051.26/361,357.22
  6. Step 6: Final answer
    x = 205,022.98

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.