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Finding the Fourth Proportional to 135,200.64, 202,779.20 and 40,429.44

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Solution

The fourth proportional to 135,200.64, 202,779.20 and 40,429.44 is: 60,637.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,200.64 : 202,779.20 = 40,429.44 : x
  2. Step 2: Convert to fraction form
    135,200.64/202,779.20 = 40,429.44/x
  3. Step 3: Cross multiply
    135,200.64x = 202,779.20 × 40,429.44
  4. Step 4: Simplify right side
    135,200.64x = 8,198,249,499.65
  5. Step 5: Solve for x
    x = 8,198,249,499.65/135,200.64
  6. Step 6: Final answer
    x = 60,637.65

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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.