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Finding the Fourth Proportional to 252,577.56, 378,928.71 and 75,083.82

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Solution

The fourth proportional to 252,577.56, 378,928.71 and 75,083.82 is: 112,644.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,577.56 : 378,928.71 = 75,083.82 : x
  2. Step 2: Convert to fraction form
    252,577.56/378,928.71 = 75,083.82/x
  3. Step 3: Cross multiply
    252,577.56x = 378,928.71 × 75,083.82
  4. Step 4: Simplify right side
    252,577.56x = 28,451,415,054.47
  5. Step 5: Solve for x
    x = 28,451,415,054.47/252,577.56
  6. Step 6: Final answer
    x = 112,644.27

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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.