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Finding the Fourth Proportional to 365,266.80, 547,511.40 and 140,540.40

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Solution

The fourth proportional to 365,266.80, 547,511.40 and 140,540.40 is: 210,661.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    365,266.80 : 547,511.40 = 140,540.40 : x
  2. Step 2: Convert to fraction form
    365,266.80/547,511.40 = 140,540.40/x
  3. Step 3: Cross multiply
    365,266.80x = 547,511.40 × 140,540.40
  4. Step 4: Simplify right side
    365,266.80x = 76,947,471,160.56
  5. Step 5: Solve for x
    x = 76,947,471,160.56/365,266.80
  6. Step 6: Final answer
    x = 210,661.00

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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.