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Finding the Fourth Proportional to 165,714.48, 248,604.21 and 65,856.06

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Solution

The fourth proportional to 165,714.48, 248,604.21 and 65,856.06 is: 98,797.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,714.48 : 248,604.21 = 65,856.06 : x
  2. Step 2: Convert to fraction form
    165,714.48/248,604.21 = 65,856.06/x
  3. Step 3: Cross multiply
    165,714.48x = 248,604.21 × 65,856.06
  4. Step 4: Simplify right side
    165,714.48x = 16,372,093,770.01
  5. Step 5: Solve for x
    x = 16,372,093,770.01/165,714.48
  6. Step 6: Final answer
    x = 98,797.00

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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.