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Finding the Fourth Proportional to 149,983.40, 224,978.70 and 44,805.80

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Solution

The fourth proportional to 149,983.40, 224,978.70 and 44,805.80 is: 67,209.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,983.40 : 224,978.70 = 44,805.80 : x
  2. Step 2: Convert to fraction form
    149,983.40/224,978.70 = 44,805.80/x
  3. Step 3: Cross multiply
    149,983.40x = 224,978.70 × 44,805.80
  4. Step 4: Simplify right side
    149,983.40x = 10,080,350,636.46
  5. Step 5: Solve for x
    x = 10,080,350,636.46/149,983.40
  6. Step 6: Final answer
    x = 67,209.78

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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.