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Finding the Fourth Proportional to 243,874.87, 365,779.94 and 110,724.50

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Solution

The fourth proportional to 243,874.87, 365,779.94 and 110,724.50 is: 166,072.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    243,874.87 : 365,779.94 = 110,724.50 : x
  2. Step 2: Convert to fraction form
    243,874.87/365,779.94 = 110,724.50/x
  3. Step 3: Cross multiply
    243,874.87x = 365,779.94 × 110,724.50
  4. Step 4: Simplify right side
    243,874.87x = 40,500,801,327.36
  5. Step 5: Solve for x
    x = 40,500,801,327.36/243,874.87
  6. Step 6: Final answer
    x = 166,072.06

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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.