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Finding the Fourth Proportional to 243,968.10, 365,842.80 and 110,779.80

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Solution

The fourth proportional to 243,968.10, 365,842.80 and 110,779.80 is: 166,120.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    243,968.10 : 365,842.80 = 110,779.80 : x
  2. Step 2: Convert to fraction form
    243,968.10/365,842.80 = 110,779.80/x
  3. Step 3: Cross multiply
    243,968.10x = 365,842.80 × 110,779.80
  4. Step 4: Simplify right side
    243,968.10x = 40,527,992,215.44
  5. Step 5: Solve for x
    x = 40,527,992,215.44/243,968.10
  6. Step 6: Final answer
    x = 166,120.05

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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.