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Finding the Fourth Proportional to 273,912.80, 410,962.61 and 147,566.00

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Solution

The fourth proportional to 273,912.80, 410,962.61 and 147,566.00 is: 221,399.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    273,912.80 : 410,962.61 = 147,566.00 : x
  2. Step 2: Convert to fraction form
    273,912.80/410,962.61 = 147,566.00/x
  3. Step 3: Cross multiply
    273,912.80x = 410,962.61 × 147,566.00
  4. Step 4: Simplify right side
    273,912.80x = 60,644,109,073.52
  5. Step 5: Solve for x
    x = 60,644,109,073.52/273,912.80
  6. Step 6: Final answer
    x = 221,399.33

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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.