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Finding the Fourth Proportional to 208,775, 313,214.52 and 61,031

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Solution

The fourth proportional to 208,775, 313,214.52 and 61,031 is: 91,561.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,775 : 313,214.52 = 61,031 : x
  2. Step 2: Convert to fraction form
    208,775/313,214.52 = 61,031/x
  3. Step 3: Cross multiply
    208,775x = 313,214.52 × 61,031
  4. Step 4: Simplify right side
    208,775x = 19,115,795,370.12
  5. Step 5: Solve for x
    x = 19,115,795,370.12/208,775
  6. Step 6: Final answer
    x = 91,561.71

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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.