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Finding the Fourth Proportional to 216,301.29, 324,489.29 and 96,400.84

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Solution

The fourth proportional to 216,301.29, 324,489.29 and 96,400.84 is: 144,617.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,301.29 : 324,489.29 = 96,400.84 : x
  2. Step 2: Convert to fraction form
    216,301.29/324,489.29 = 96,400.84/x
  3. Step 3: Cross multiply
    216,301.29x = 324,489.29 × 96,400.84
  4. Step 4: Simplify right side
    216,301.29x = 31,281,038,504.56
  5. Step 5: Solve for x
    x = 31,281,038,504.56/216,301.29
  6. Step 6: Final answer
    x = 144,617.90

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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.