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Finding the Fourth Proportional to 273,729.02, 410,851.87 and 140,702.70

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Solution

The fourth proportional to 273,729.02, 410,851.87 and 140,702.70 is: 211,186.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    273,729.02 : 410,851.87 = 140,702.70 : x
  2. Step 2: Convert to fraction form
    273,729.02/410,851.87 = 140,702.70/x
  3. Step 3: Cross multiply
    273,729.02x = 410,851.87 × 140,702.70
  4. Step 4: Simplify right side
    273,729.02x = 57,807,965,527.15
  5. Step 5: Solve for x
    x = 57,807,965,527.15/273,729.02
  6. Step 6: Final answer
    x = 211,186.84

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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.