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Finding the Fourth Proportional to 273,758.42, 410,858.76 and 116,097.50

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Solution

The fourth proportional to 273,758.42, 410,858.76 and 116,097.50 is: 174,240.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    273,758.42 : 410,858.76 = 116,097.50 : x
  2. Step 2: Convert to fraction form
    273,758.42/410,858.76 = 116,097.50/x
  3. Step 3: Cross multiply
    273,758.42x = 410,858.76 × 116,097.50
  4. Step 4: Simplify right side
    273,758.42x = 47,699,674,889.10
  5. Step 5: Solve for x
    x = 47,699,674,889.10/273,758.42
  6. Step 6: Final answer
    x = 174,240.03

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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.