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Finding the Fourth Proportional to 149,806.40, 224,740.80 and 49,997.60

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Solution

The fourth proportional to 149,806.40, 224,740.80 and 49,997.60 is: 75,006.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,806.40 : 224,740.80 = 49,997.60 : x
  2. Step 2: Convert to fraction form
    149,806.40/224,740.80 = 49,997.60/x
  3. Step 3: Cross multiply
    149,806.40x = 224,740.80 × 49,997.60
  4. Step 4: Simplify right side
    149,806.40x = 11,236,500,622.08
  5. Step 5: Solve for x
    x = 11,236,500,622.08/149,806.40
  6. Step 6: Final answer
    x = 75,006.81

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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.