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Finding the Fourth Proportional to 110,175.69, 165,148.20 and 46,170.48

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Solution

The fourth proportional to 110,175.69, 165,148.20 and 46,170.48 is: 69,207.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,175.69 : 165,148.20 = 46,170.48 : x
  2. Step 2: Convert to fraction form
    110,175.69/165,148.20 = 46,170.48/x
  3. Step 3: Cross multiply
    110,175.69x = 165,148.20 × 46,170.48
  4. Step 4: Simplify right side
    110,175.69x = 7,624,971,665.14
  5. Step 5: Solve for x
    x = 7,624,971,665.14/110,175.69
  6. Step 6: Final answer
    x = 69,207.39

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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.