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Finding the Fourth Proportional to 119,169.50, 164,451.60 and 65,453.27

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Solution

The fourth proportional to 119,169.50, 164,451.60 and 65,453.27 is: 90,324.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,169.50 : 164,451.60 = 65,453.27 : x
  2. Step 2: Convert to fraction form
    119,169.50/164,451.60 = 65,453.27/x
  3. Step 3: Cross multiply
    119,169.50x = 164,451.60 × 65,453.27
  4. Step 4: Simplify right side
    119,169.50x = 10,763,894,154.47
  5. Step 5: Solve for x
    x = 10,763,894,154.47/119,169.50
  6. Step 6: Final answer
    x = 90,324.24

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.