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Finding the Fourth Proportional to 165,537, 248,344.38 and 54,729

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Solution

The fourth proportional to 165,537, 248,344.38 and 54,729 is: 82,106.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,537 : 248,344.38 = 54,729 : x
  2. Step 2: Convert to fraction form
    165,537/248,344.38 = 54,729/x
  3. Step 3: Cross multiply
    165,537x = 248,344.38 × 54,729
  4. Step 4: Simplify right side
    165,537x = 13,591,639,573.02
  5. Step 5: Solve for x
    x = 13,591,639,573.02/165,537
  6. Step 6: Final answer
    x = 82,106.35

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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.