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Finding the Fourth Proportional to 165,672, 248,513.76 and 54,861.12

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Solution

The fourth proportional to 165,672, 248,513.76 and 54,861.12 is: 82,293.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,672 : 248,513.76 = 54,861.12 : x
  2. Step 2: Convert to fraction form
    165,672/248,513.76 = 54,861.12/x
  3. Step 3: Cross multiply
    165,672x = 248,513.76 × 54,861.12
  4. Step 4: Simplify right side
    165,672x = 13,633,743,209.01
  5. Step 5: Solve for x
    x = 13,633,743,209.01/165,672
  6. Step 6: Final answer
    x = 82,293.59

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Why These Related Problems?

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