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Finding the Fourth Proportional to 110,414.90, 165,622.35 and 99,701.30

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Solution

The fourth proportional to 110,414.90, 165,622.35 and 99,701.30 is: 149,551.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,414.90 : 165,622.35 = 99,701.30 : x
  2. Step 2: Convert to fraction form
    110,414.90/165,622.35 = 99,701.30/x
  3. Step 3: Cross multiply
    110,414.90x = 165,622.35 × 99,701.30
  4. Step 4: Simplify right side
    110,414.90x = 16,512,763,604.06
  5. Step 5: Solve for x
    x = 16,512,763,604.06/110,414.90
  6. Step 6: Final answer
    x = 149,551.95

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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.