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Finding the Fourth Proportional to 361,584.50, 542,376.75 and 112,266.50

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Solution

The fourth proportional to 361,584.50, 542,376.75 and 112,266.50 is: 168,399.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,584.50 : 542,376.75 = 112,266.50 : x
  2. Step 2: Convert to fraction form
    361,584.50/542,376.75 = 112,266.50/x
  3. Step 3: Cross multiply
    361,584.50x = 542,376.75 × 112,266.50
  4. Step 4: Simplify right side
    361,584.50x = 60,890,739,403.88
  5. Step 5: Solve for x
    x = 60,890,739,403.88/361,584.50
  6. Step 6: Final answer
    x = 168,399.75

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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.