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Finding the Fourth Proportional to 116,967.70, 175,512.30 and 54,638.20

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Solution

The fourth proportional to 116,967.70, 175,512.30 and 54,638.20 is: 81,985.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,967.70 : 175,512.30 = 54,638.20 : x
  2. Step 2: Convert to fraction form
    116,967.70/175,512.30 = 54,638.20/x
  3. Step 3: Cross multiply
    116,967.70x = 175,512.30 × 54,638.20
  4. Step 4: Simplify right side
    116,967.70x = 9,589,676,149.86
  5. Step 5: Solve for x
    x = 9,589,676,149.86/116,967.70
  6. Step 6: Final answer
    x = 81,985.68

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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.