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Finding the Fourth Proportional to 149,719.20, 224,665.20 and 56,234.40

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Solution

The fourth proportional to 149,719.20, 224,665.20 and 56,234.40 is: 84,384.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,719.20 : 224,665.20 = 56,234.40 : x
  2. Step 2: Convert to fraction form
    149,719.20/224,665.20 = 56,234.40/x
  3. Step 3: Cross multiply
    149,719.20x = 224,665.20 × 56,234.40
  4. Step 4: Simplify right side
    149,719.20x = 12,633,912,722.88
  5. Step 5: Solve for x
    x = 12,633,912,722.88/149,719.20
  6. Step 6: Final answer
    x = 84,384.05

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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.