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Finding the Fourth Proportional to 225,968.64, 338,954.96 and 57,489.16

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Solution

The fourth proportional to 225,968.64, 338,954.96 and 57,489.16 is: 86,234.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,968.64 : 338,954.96 = 57,489.16 : x
  2. Step 2: Convert to fraction form
    225,968.64/338,954.96 = 57,489.16/x
  3. Step 3: Cross multiply
    225,968.64x = 338,954.96 × 57,489.16
  4. Step 4: Simplify right side
    225,968.64x = 19,486,235,928.23
  5. Step 5: Solve for x
    x = 19,486,235,928.23/225,968.64
  6. Step 6: Final answer
    x = 86,234.25

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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.