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Finding the Fourth Proportional to 273,505.50, 410,256.09 and 83,965.50

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Solution

The fourth proportional to 273,505.50, 410,256.09 and 83,965.50 is: 125,947.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    273,505.50 : 410,256.09 = 83,965.50 : x
  2. Step 2: Convert to fraction form
    273,505.50/410,256.09 = 83,965.50/x
  3. Step 3: Cross multiply
    273,505.50x = 410,256.09 × 83,965.50
  4. Step 4: Simplify right side
    273,505.50x = 34,447,357,724.90
  5. Step 5: Solve for x
    x = 34,447,357,724.90/273,505.50
  6. Step 6: Final answer
    x = 125,947.59

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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.