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Finding the Fourth Proportional to 100,182.64, 150,329.29 and 55,834.38

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Solution

The fourth proportional to 100,182.64, 150,329.29 and 55,834.38 is: 83,782.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,182.64 : 150,329.29 = 55,834.38 : x
  2. Step 2: Convert to fraction form
    100,182.64/150,329.29 = 55,834.38/x
  3. Step 3: Cross multiply
    100,182.64x = 150,329.29 × 55,834.38
  4. Step 4: Simplify right side
    100,182.64x = 8,393,542,702.99
  5. Step 5: Solve for x
    x = 8,393,542,702.99/100,182.64
  6. Step 6: Final answer
    x = 83,782.41

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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.