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Finding the Fourth Proportional to 273,758.70, 410,566.76 and 115,905.90

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Solution

The fourth proportional to 273,758.70, 410,566.76 and 115,905.90 is: 173,828.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    273,758.70 : 410,566.76 = 115,905.90 : x
  2. Step 2: Convert to fraction form
    273,758.70/410,566.76 = 115,905.90/x
  3. Step 3: Cross multiply
    273,758.70x = 410,566.76 × 115,905.90
  4. Step 4: Simplify right side
    273,758.70x = 47,587,109,827.88
  5. Step 5: Solve for x
    x = 47,587,109,827.88/273,758.70
  6. Step 6: Final answer
    x = 173,828.67

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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.