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Finding the Fourth Proportional to 300,900.22, 415,252.93 and 164,934.12

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Solution

The fourth proportional to 300,900.22, 415,252.93 and 164,934.12 is: 227,614.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,900.22 : 415,252.93 = 164,934.12 : x
  2. Step 2: Convert to fraction form
    300,900.22/415,252.93 = 164,934.12/x
  3. Step 3: Cross multiply
    300,900.22x = 415,252.93 × 164,934.12
  4. Step 4: Simplify right side
    300,900.22x = 68,489,378,041.09
  5. Step 5: Solve for x
    x = 68,489,378,041.09/300,900.22
  6. Step 6: Final answer
    x = 227,614.92

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.