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Finding the Fourth Proportional to 146,045.33, 218,984.16 and 57,194.81

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Solution

The fourth proportional to 146,045.33, 218,984.16 and 57,194.81 is: 85,759.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,045.33 : 218,984.16 = 57,194.81 : x
  2. Step 2: Convert to fraction form
    146,045.33/218,984.16 = 57,194.81/x
  3. Step 3: Cross multiply
    146,045.33x = 218,984.16 × 57,194.81
  4. Step 4: Simplify right side
    146,045.33x = 12,524,757,424.21
  5. Step 5: Solve for x
    x = 12,524,757,424.21/146,045.33
  6. Step 6: Final answer
    x = 85,759.38

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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.