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Finding the Fourth Proportional to 361,717.51, 542,523.43 and 105,481.22

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Solution

The fourth proportional to 361,717.51, 542,523.43 and 105,481.22 is: 158,206.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,717.51 : 542,523.43 = 105,481.22 : x
  2. Step 2: Convert to fraction form
    361,717.51/542,523.43 = 105,481.22/x
  3. Step 3: Cross multiply
    361,717.51x = 542,523.43 × 105,481.22
  4. Step 4: Simplify right side
    361,717.51x = 57,226,033,274.98
  5. Step 5: Solve for x
    x = 57,226,033,274.98/361,717.51
  6. Step 6: Final answer
    x = 158,206.42

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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.