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Finding the Fourth Proportional to 143,109, 214,663.50 and 44,613

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Solution

The fourth proportional to 143,109, 214,663.50 and 44,613 is: 66,919.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,109 : 214,663.50 = 44,613 : x
  2. Step 2: Convert to fraction form
    143,109/214,663.50 = 44,613/x
  3. Step 3: Cross multiply
    143,109x = 214,663.50 × 44,613
  4. Step 4: Simplify right side
    143,109x = 9,576,782,725.50
  5. Step 5: Solve for x
    x = 9,576,782,725.50/143,109
  6. Step 6: Final answer
    x = 66,919.50

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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.