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Finding the Fourth Proportional to 273,097.52, 409,364.80 and 104,571.80

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Solution

The fourth proportional to 273,097.52, 409,364.80 and 104,571.80 is: 156,749.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    273,097.52 : 409,364.80 = 104,571.80 : x
  2. Step 2: Convert to fraction form
    273,097.52/409,364.80 = 104,571.80/x
  3. Step 3: Cross multiply
    273,097.52x = 409,364.80 × 104,571.80
  4. Step 4: Simplify right side
    273,097.52x = 42,808,013,992.64
  5. Step 5: Solve for x
    x = 42,808,013,992.64/273,097.52
  6. Step 6: Final answer
    x = 156,749.92

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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.