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Finding the Fourth Proportional to 273,405.87, 410,107.68 and 73,746.47

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Solution

The fourth proportional to 273,405.87, 410,107.68 and 73,746.47 is: 110,619.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    273,405.87 : 410,107.68 = 73,746.47 : x
  2. Step 2: Convert to fraction form
    273,405.87/410,107.68 = 73,746.47/x
  3. Step 3: Cross multiply
    273,405.87x = 410,107.68 × 73,746.47
  4. Step 4: Simplify right side
    273,405.87x = 30,243,991,669.35
  5. Step 5: Solve for x
    x = 30,243,991,669.35/273,405.87
  6. Step 6: Final answer
    x = 110,619.39

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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.