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Finding the Fourth Proportional to 149,197, 223,793.29 and 36,877.23

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Solution

The fourth proportional to 149,197, 223,793.29 and 36,877.23 is: 55,315.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,197 : 223,793.29 = 36,877.23 : x
  2. Step 2: Convert to fraction form
    149,197/223,793.29 = 36,877.23/x
  3. Step 3: Cross multiply
    149,197x = 223,793.29 × 36,877.23
  4. Step 4: Simplify right side
    149,197x = 8,252,876,627.79
  5. Step 5: Solve for x
    x = 8,252,876,627.79/149,197
  6. Step 6: Final answer
    x = 55,315.30

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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.