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Finding the Fourth Proportional to 216,553.10, 324,829.64 and 116,760.29

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Solution

The fourth proportional to 216,553.10, 324,829.64 and 116,760.29 is: 175,140.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,553.10 : 324,829.64 = 116,760.29 : x
  2. Step 2: Convert to fraction form
    216,553.10/324,829.64 = 116,760.29/x
  3. Step 3: Cross multiply
    216,553.10x = 324,829.64 × 116,760.29
  4. Step 4: Simplify right side
    216,553.10x = 37,927,201,634.75
  5. Step 5: Solve for x
    x = 37,927,201,634.75/216,553.10
  6. Step 6: Final answer
    x = 175,140.43

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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.