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Finding the Fourth Proportional to 120,463.55, 180,777.07 and 64,343.97

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Solution

The fourth proportional to 120,463.55, 180,777.07 and 64,343.97 is: 96,559.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,463.55 : 180,777.07 = 64,343.97 : x
  2. Step 2: Convert to fraction form
    120,463.55/180,777.07 = 64,343.97/x
  3. Step 3: Cross multiply
    120,463.55x = 180,777.07 × 64,343.97
  4. Step 4: Simplify right side
    120,463.55x = 11,631,914,087.26
  5. Step 5: Solve for x
    x = 11,631,914,087.26/120,463.55
  6. Step 6: Final answer
    x = 96,559.61

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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.