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Finding the Fourth Proportional to 273,764.80, 410,642.34 and 140,566.78

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Solution

The fourth proportional to 273,764.80, 410,642.34 and 140,566.78 is: 210,847.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    273,764.80 : 410,642.34 = 140,566.78 : x
  2. Step 2: Convert to fraction form
    273,764.80/410,642.34 = 140,566.78/x
  3. Step 3: Cross multiply
    273,764.80x = 410,642.34 × 140,566.78
  4. Step 4: Simplify right side
    273,764.80x = 57,722,671,465.47
  5. Step 5: Solve for x
    x = 57,722,671,465.47/273,764.80
  6. Step 6: Final answer
    x = 210,847.67

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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.