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Finding the Fourth Proportional to 361,851.09, 542,393.29 and 121,736.31

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Solution

The fourth proportional to 361,851.09, 542,393.29 and 121,736.31 is: 182,475.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,851.09 : 542,393.29 = 121,736.31 : x
  2. Step 2: Convert to fraction form
    361,851.09/542,393.29 = 121,736.31/x
  3. Step 3: Cross multiply
    361,851.09x = 542,393.29 × 121,736.31
  4. Step 4: Simplify right side
    361,851.09x = 66,028,957,693.36
  5. Step 5: Solve for x
    x = 66,028,957,693.36/361,851.09
  6. Step 6: Final answer
    x = 182,475.50

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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.