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Finding the Fourth Proportional to 165,342, 248,013.12 and 54,534

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Solution

The fourth proportional to 165,342, 248,013.12 and 54,534 is: 81,801.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,342 : 248,013.12 = 54,534 : x
  2. Step 2: Convert to fraction form
    165,342/248,013.12 = 54,534/x
  3. Step 3: Cross multiply
    165,342x = 248,013.12 × 54,534
  4. Step 4: Simplify right side
    165,342x = 13,525,147,486.08
  5. Step 5: Solve for x
    x = 13,525,147,486.08/165,342
  6. Step 6: Final answer
    x = 81,801.04

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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.