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Finding the Fourth Proportional to 145,609.50, 218,414.07 and 45,778.41

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Solution

The fourth proportional to 145,609.50, 218,414.07 and 45,778.41 is: 68,667.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,609.50 : 218,414.07 = 45,778.41 : x
  2. Step 2: Convert to fraction form
    145,609.50/218,414.07 = 45,778.41/x
  3. Step 3: Cross multiply
    145,609.50x = 218,414.07 × 45,778.41
  4. Step 4: Simplify right side
    145,609.50x = 9,998,648,846.23
  5. Step 5: Solve for x
    x = 9,998,648,846.23/145,609.50
  6. Step 6: Final answer
    x = 68,667.56

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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.