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Finding the Fourth Proportional to 135,173.34, 202,762.80 and 41,679

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Solution

The fourth proportional to 135,173.34, 202,762.80 and 41,679 is: 62,519.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,173.34 : 202,762.80 = 41,679 : x
  2. Step 2: Convert to fraction form
    135,173.34/202,762.80 = 41,679/x
  3. Step 3: Cross multiply
    135,173.34x = 202,762.80 × 41,679
  4. Step 4: Simplify right side
    135,173.34x = 8,450,950,741.20
  5. Step 5: Solve for x
    x = 8,450,950,741.20/135,173.34
  6. Step 6: Final answer
    x = 62,519.36

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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.