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Finding the Fourth Proportional to 120,606.82, 180,782.54 and 40,568.59

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Solution

The fourth proportional to 120,606.82, 180,782.54 and 40,568.59 is: 60,809.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,606.82 : 180,782.54 = 40,568.59 : x
  2. Step 2: Convert to fraction form
    120,606.82/180,782.54 = 40,568.59/x
  3. Step 3: Cross multiply
    120,606.82x = 180,782.54 × 40,568.59
  4. Step 4: Simplify right side
    120,606.82x = 7,334,092,744.42
  5. Step 5: Solve for x
    x = 7,334,092,744.42/120,606.82
  6. Step 6: Final answer
    x = 60,809.93

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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.