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Finding the Fourth Proportional to 135,241.06, 202,978.23 and 52,193.38

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Solution

The fourth proportional to 135,241.06, 202,978.23 and 52,193.38 is: 78,335.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,241.06 : 202,978.23 = 52,193.38 : x
  2. Step 2: Convert to fraction form
    135,241.06/202,978.23 = 52,193.38/x
  3. Step 3: Cross multiply
    135,241.06x = 202,978.23 × 52,193.38
  4. Step 4: Simplify right side
    135,241.06x = 10,594,119,890.12
  5. Step 5: Solve for x
    x = 10,594,119,890.12/135,241.06
  6. Step 6: Final answer
    x = 78,335.08

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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.