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Finding the Fourth Proportional to 120,474.01, 180,713.93 and 40,513.02

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Solution

The fourth proportional to 120,474.01, 180,713.93 and 40,513.02 is: 60,770.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,474.01 : 180,713.93 = 40,513.02 : x
  2. Step 2: Convert to fraction form
    120,474.01/180,713.93 = 40,513.02/x
  3. Step 3: Cross multiply
    120,474.01x = 180,713.93 × 40,513.02
  4. Step 4: Simplify right side
    120,474.01x = 7,321,267,060.37
  5. Step 5: Solve for x
    x = 7,321,267,060.37/120,474.01
  6. Step 6: Final answer
    x = 60,770.51

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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.