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Finding the Fourth Proportional to 100,182.39, 150,328.92 and 55,834.14

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Solution

The fourth proportional to 100,182.39, 150,328.92 and 55,834.14 is: 83,782.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,182.39 : 150,328.92 = 55,834.14 : x
  2. Step 2: Convert to fraction form
    100,182.39/150,328.92 = 55,834.14/x
  3. Step 3: Cross multiply
    100,182.39x = 150,328.92 × 55,834.14
  4. Step 4: Simplify right side
    100,182.39x = 8,393,485,965.33
  5. Step 5: Solve for x
    x = 8,393,485,965.33/100,182.39
  6. Step 6: Final answer
    x = 83,782.05

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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.