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Finding the Fourth Proportional to 252,507.25, 378,824.31 and 72,593.01

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Solution

The fourth proportional to 252,507.25, 378,824.31 and 72,593.01 is: 108,907.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,507.25 : 378,824.31 = 72,593.01 : x
  2. Step 2: Convert to fraction form
    252,507.25/378,824.31 = 72,593.01/x
  3. Step 3: Cross multiply
    252,507.25x = 378,824.31 × 72,593.01
  4. Step 4: Simplify right side
    252,507.25x = 27,499,996,924.07
  5. Step 5: Solve for x
    x = 27,499,996,924.07/252,507.25
  6. Step 6: Final answer
    x = 108,907.75

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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.