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Finding the Fourth Proportional to 110,734.30, 165,903.45 and 67,378.30

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Solution

The fourth proportional to 110,734.30, 165,903.45 and 67,378.30 is: 100,946.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,734.30 : 165,903.45 = 67,378.30 : x
  2. Step 2: Convert to fraction form
    110,734.30/165,903.45 = 67,378.30/x
  3. Step 3: Cross multiply
    110,734.30x = 165,903.45 × 67,378.30
  4. Step 4: Simplify right side
    110,734.30x = 11,178,292,425.14
  5. Step 5: Solve for x
    x = 11,178,292,425.14/110,734.30
  6. Step 6: Final answer
    x = 100,946.97

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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.