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Finding the Fourth Proportional to 216,633.42, 324,946.89 and 76,393.26

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Solution

The fourth proportional to 216,633.42, 324,946.89 and 76,393.26 is: 114,588.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,633.42 : 324,946.89 = 76,393.26 : x
  2. Step 2: Convert to fraction form
    216,633.42/324,946.89 = 76,393.26/x
  3. Step 3: Cross multiply
    216,633.42x = 324,946.89 × 76,393.26
  4. Step 4: Simplify right side
    216,633.42x = 24,823,752,253.96
  5. Step 5: Solve for x
    x = 24,823,752,253.96/216,633.42
  6. Step 6: Final answer
    x = 114,588.75

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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.