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Finding the Fourth Proportional to 149,806.56, 224,724.85 and 43,193.15

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Solution

The fourth proportional to 149,806.56, 224,724.85 and 43,193.15 is: 64,794.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,806.56 : 224,724.85 = 43,193.15 : x
  2. Step 2: Convert to fraction form
    149,806.56/224,724.85 = 43,193.15/x
  3. Step 3: Cross multiply
    149,806.56x = 224,724.85 × 43,193.15
  4. Step 4: Simplify right side
    149,806.56x = 9,706,573,765.89
  5. Step 5: Solve for x
    x = 9,706,573,765.89/149,806.56
  6. Step 6: Final answer
    x = 64,794.05

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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.