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Finding the Fourth Proportional to 165,864, 248,834.88 and 55,056

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Solution

The fourth proportional to 165,864, 248,834.88 and 55,056 is: 82,596.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,864 : 248,834.88 = 55,056 : x
  2. Step 2: Convert to fraction form
    165,864/248,834.88 = 55,056/x
  3. Step 3: Cross multiply
    165,864x = 248,834.88 × 55,056
  4. Step 4: Simplify right side
    165,864x = 13,699,853,153.28
  5. Step 5: Solve for x
    x = 13,699,853,153.28/165,864
  6. Step 6: Final answer
    x = 82,596.91

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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.