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Finding the Fourth Proportional to 135,189.96, 202,814.03 and 40,427.65

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Solution

The fourth proportional to 135,189.96, 202,814.03 and 40,427.65 is: 60,650.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,189.96 : 202,814.03 = 40,427.65 : x
  2. Step 2: Convert to fraction form
    135,189.96/202,814.03 = 40,427.65/x
  3. Step 3: Cross multiply
    135,189.96x = 202,814.03 × 40,427.65
  4. Step 4: Simplify right side
    135,189.96x = 8,199,294,619.93
  5. Step 5: Solve for x
    x = 8,199,294,619.93/135,189.96
  6. Step 6: Final answer
    x = 60,650.17

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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.