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Finding the Fourth Proportional to 206,857.35, 310,303.84 and 57,097.67

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Solution

The fourth proportional to 206,857.35, 310,303.84 and 57,097.67 is: 85,651.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,857.35 : 310,303.84 = 57,097.67 : x
  2. Step 2: Convert to fraction form
    206,857.35/310,303.84 = 57,097.67/x
  3. Step 3: Cross multiply
    206,857.35x = 310,303.84 × 57,097.67
  4. Step 4: Simplify right side
    206,857.35x = 17,717,625,551.67
  5. Step 5: Solve for x
    x = 17,717,625,551.67/206,857.35
  6. Step 6: Final answer
    x = 85,651.42

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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.