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Finding the Fourth Proportional to 216,628.80, 324,943.20 and 164,140.80

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Solution

The fourth proportional to 216,628.80, 324,943.20 and 164,140.80 is: 246,211.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,628.80 : 324,943.20 = 164,140.80 : x
  2. Step 2: Convert to fraction form
    216,628.80/324,943.20 = 164,140.80/x
  3. Step 3: Cross multiply
    216,628.80x = 324,943.20 × 164,140.80
  4. Step 4: Simplify right side
    216,628.80x = 53,336,436,802.56
  5. Step 5: Solve for x
    x = 53,336,436,802.56/216,628.80
  6. Step 6: Final answer
    x = 246,211.20

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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.