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Finding the Fourth Proportional to 216,495.80, 324,743.70 and 164,007.80

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Solution

The fourth proportional to 216,495.80, 324,743.70 and 164,007.80 is: 246,011.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,495.80 : 324,743.70 = 164,007.80 : x
  2. Step 2: Convert to fraction form
    216,495.80/324,743.70 = 164,007.80/x
  3. Step 3: Cross multiply
    216,495.80x = 324,743.70 × 164,007.80
  4. Step 4: Simplify right side
    216,495.80x = 53,260,499,800.86
  5. Step 5: Solve for x
    x = 53,260,499,800.86/216,495.80
  6. Step 6: Final answer
    x = 246,011.70

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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.