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Finding the Fourth Proportional to 165,065.44, 247,631.52 and 65,272.96

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Solution

The fourth proportional to 165,065.44, 247,631.52 and 65,272.96 is: 97,922.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,065.44 : 247,631.52 = 65,272.96 : x
  2. Step 2: Convert to fraction form
    165,065.44/247,631.52 = 65,272.96/x
  3. Step 3: Cross multiply
    165,065.44x = 247,631.52 × 65,272.96
  4. Step 4: Simplify right side
    165,065.44x = 16,163,642,299.70
  5. Step 5: Solve for x
    x = 16,163,642,299.70/165,065.44
  6. Step 6: Final answer
    x = 97,922.63

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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.