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Finding the Fourth Proportional to 149,471.10, 224,157.87 and 49,604.46

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Solution

The fourth proportional to 149,471.10, 224,157.87 and 49,604.46 is: 74,390.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,471.10 : 224,157.87 = 49,604.46 : x
  2. Step 2: Convert to fraction form
    149,471.10/224,157.87 = 49,604.46/x
  3. Step 3: Cross multiply
    149,471.10x = 224,157.87 × 49,604.46
  4. Step 4: Simplify right side
    149,471.10x = 11,119,230,096.10
  5. Step 5: Solve for x
    x = 11,119,230,096.10/149,471.10
  6. Step 6: Final answer
    x = 74,390.50

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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.