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Finding the Fourth Proportional to 361,942.83, 542,918.42 and 109,225.50

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Solution

The fourth proportional to 361,942.83, 542,918.42 and 109,225.50 is: 163,839.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,942.83 : 542,918.42 = 109,225.50 : x
  2. Step 2: Convert to fraction form
    361,942.83/542,918.42 = 109,225.50/x
  3. Step 3: Cross multiply
    361,942.83x = 542,918.42 × 109,225.50
  4. Step 4: Simplify right side
    361,942.83x = 59,300,535,337.58
  5. Step 5: Solve for x
    x = 59,300,535,337.58/361,942.83
  6. Step 6: Final answer
    x = 163,839.51

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