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Finding the Fourth Proportional to 273,758.34, 410,367.63 and 96,140.80

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Solution

The fourth proportional to 273,758.34, 410,367.63 and 96,140.80 is: 144,116.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    273,758.34 : 410,367.63 = 96,140.80 : x
  2. Step 2: Convert to fraction form
    273,758.34/410,367.63 = 96,140.80/x
  3. Step 3: Cross multiply
    273,758.34x = 410,367.63 × 96,140.80
  4. Step 4: Simplify right side
    273,758.34x = 39,453,072,242.30
  5. Step 5: Solve for x
    x = 39,453,072,242.30/273,758.34
  6. Step 6: Final answer
    x = 144,116.42

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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.