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Finding the Fourth Proportional to 135,188.42, 202,796.37 and 46,430.37

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Solution

The fourth proportional to 135,188.42, 202,796.37 and 46,430.37 is: 69,650.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,188.42 : 202,796.37 = 46,430.37 : x
  2. Step 2: Convert to fraction form
    135,188.42/202,796.37 = 46,430.37/x
  3. Step 3: Cross multiply
    135,188.42x = 202,796.37 × 46,430.37
  4. Step 4: Simplify right side
    135,188.42x = 9,415,910,493.76
  5. Step 5: Solve for x
    x = 9,415,910,493.76/135,188.42
  6. Step 6: Final answer
    x = 69,650.28

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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.