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Finding the Fourth Proportional to 149,196, 223,791.80 and 36,876.23

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Solution

The fourth proportional to 149,196, 223,791.80 and 36,876.23 is: 55,313.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,196 : 223,791.80 = 36,876.23 : x
  2. Step 2: Convert to fraction form
    149,196/223,791.80 = 36,876.23/x
  3. Step 3: Cross multiply
    149,196x = 223,791.80 × 36,876.23
  4. Step 4: Simplify right side
    149,196x = 8,252,597,704.53
  5. Step 5: Solve for x
    x = 8,252,597,704.53/149,196
  6. Step 6: Final answer
    x = 55,313.80

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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.