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Finding the Fourth Proportional to 273,772.80, 410,654.34 and 140,574.78

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Solution

The fourth proportional to 273,772.80, 410,654.34 and 140,574.78 is: 210,859.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    273,772.80 : 410,654.34 = 140,574.78 : x
  2. Step 2: Convert to fraction form
    273,772.80/410,654.34 = 140,574.78/x
  3. Step 3: Cross multiply
    273,772.80x = 410,654.34 × 140,574.78
  4. Step 4: Simplify right side
    273,772.80x = 57,727,643,501.55
  5. Step 5: Solve for x
    x = 57,727,643,501.55/273,772.80
  6. Step 6: Final answer
    x = 210,859.67

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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.