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Finding the Fourth Proportional to 216,255.81, 324,267.08 and 83,169.57

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Solution

The fourth proportional to 216,255.81, 324,267.08 and 83,169.57 is: 124,709.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,255.81 : 324,267.08 = 83,169.57 : x
  2. Step 2: Convert to fraction form
    216,255.81/324,267.08 = 83,169.57/x
  3. Step 3: Cross multiply
    216,255.81x = 324,267.08 × 83,169.57
  4. Step 4: Simplify right side
    216,255.81x = 26,969,153,192.91
  5. Step 5: Solve for x
    x = 26,969,153,192.91/216,255.81
  6. Step 6: Final answer
    x = 124,709.50

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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.