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Finding the Fourth Proportional to 147,755.56, 221,664.48 and 47,907.97

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Solution

The fourth proportional to 147,755.56, 221,664.48 and 47,907.97 is: 71,872.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,755.56 : 221,664.48 = 47,907.97 : x
  2. Step 2: Convert to fraction form
    147,755.56/221,664.48 = 47,907.97/x
  3. Step 3: Cross multiply
    147,755.56x = 221,664.48 × 47,907.97
  4. Step 4: Simplify right side
    147,755.56x = 10,619,494,187.12
  5. Step 5: Solve for x
    x = 10,619,494,187.12/147,755.56
  6. Step 6: Final answer
    x = 71,872.05

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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.