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Finding the Fourth Proportional to 165,764.70, 248,863.86 and 98,419.68

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Solution

The fourth proportional to 165,764.70, 248,863.86 and 98,419.68 is: 147,758.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,764.70 : 248,863.86 = 98,419.68 : x
  2. Step 2: Convert to fraction form
    165,764.70/248,863.86 = 98,419.68/x
  3. Step 3: Cross multiply
    165,764.70x = 248,863.86 × 98,419.68
  4. Step 4: Simplify right side
    165,764.70x = 24,493,101,464.76
  5. Step 5: Solve for x
    x = 24,493,101,464.76/165,764.70
  6. Step 6: Final answer
    x = 147,758.25

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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.