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Finding the Fourth Proportional to 149,713.20, 224,602.20 and 44,542.80

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Solution

The fourth proportional to 149,713.20, 224,602.20 and 44,542.80 is: 66,823.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,713.20 : 224,602.20 = 44,542.80 : x
  2. Step 2: Convert to fraction form
    149,713.20/224,602.20 = 44,542.80/x
  3. Step 3: Cross multiply
    149,713.20x = 224,602.20 × 44,542.80
  4. Step 4: Simplify right side
    149,713.20x = 10,004,410,874.16
  5. Step 5: Solve for x
    x = 10,004,410,874.16/149,713.20
  6. Step 6: Final answer
    x = 66,823.84

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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.