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Finding the Fourth Proportional to 206,857.06, 310,303.40 and 57,097.38

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Solution

The fourth proportional to 206,857.06, 310,303.40 and 57,097.38 is: 85,650.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,857.06 : 310,303.40 = 57,097.38 : x
  2. Step 2: Convert to fraction form
    206,857.06/310,303.40 = 57,097.38/x
  3. Step 3: Cross multiply
    206,857.06x = 310,303.40 × 57,097.38
  4. Step 4: Simplify right side
    206,857.06x = 17,717,511,145.09
  5. Step 5: Solve for x
    x = 17,717,511,145.09/206,857.06
  6. Step 6: Final answer
    x = 85,650.99

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.