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Finding the Fourth Proportional to 224,724.56, 336,956.43 and 106,394.90

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Solution

The fourth proportional to 224,724.56, 336,956.43 and 106,394.90 is: 159,530.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,724.56 : 336,956.43 = 106,394.90 : x
  2. Step 2: Convert to fraction form
    224,724.56/336,956.43 = 106,394.90/x
  3. Step 3: Cross multiply
    224,724.56x = 336,956.43 × 106,394.90
  4. Step 4: Simplify right side
    224,724.56x = 35,850,445,674.21
  5. Step 5: Solve for x
    x = 35,850,445,674.21/224,724.56
  6. Step 6: Final answer
    x = 159,530.61

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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.