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Finding the Fourth Proportional to 165,607.98, 248,453.34 and 65,735.16

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Solution

The fourth proportional to 165,607.98, 248,453.34 and 65,735.16 is: 98,619.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,607.98 : 248,453.34 = 65,735.16 : x
  2. Step 2: Convert to fraction form
    165,607.98/248,453.34 = 65,735.16/x
  3. Step 3: Cross multiply
    165,607.98x = 248,453.34 × 65,735.16
  4. Step 4: Simplify right side
    165,607.98x = 16,332,120,057.43
  5. Step 5: Solve for x
    x = 16,332,120,057.43/165,607.98
  6. Step 6: Final answer
    x = 98,619.16

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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.