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Finding the Fourth Proportional to 273,471.85, 410,205.93 and 147,171.52

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Solution

The fourth proportional to 273,471.85, 410,205.93 and 147,171.52 is: 220,756.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    273,471.85 : 410,205.93 = 147,171.52 : x
  2. Step 2: Convert to fraction form
    273,471.85/410,205.93 = 147,171.52/x
  3. Step 3: Cross multiply
    273,471.85x = 410,205.93 × 147,171.52
  4. Step 4: Simplify right side
    273,471.85x = 60,370,630,231.11
  5. Step 5: Solve for x
    x = 60,370,630,231.11/273,471.85
  6. Step 6: Final answer
    x = 220,756.29

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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.