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Finding the Fourth Proportional to 110,205.83, 165,324.32 and 35,308.46

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Solution

The fourth proportional to 110,205.83, 165,324.32 and 35,308.46 is: 52,967.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,205.83 : 165,324.32 = 35,308.46 : x
  2. Step 2: Convert to fraction form
    110,205.83/165,324.32 = 35,308.46/x
  3. Step 3: Cross multiply
    110,205.83x = 165,324.32 × 35,308.46
  4. Step 4: Simplify right side
    110,205.83x = 5,837,346,136.58
  5. Step 5: Solve for x
    x = 5,837,346,136.58/110,205.83
  6. Step 6: Final answer
    x = 52,967.67

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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.