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Finding the Fourth Proportional to 110,135.70, 165,215.70 and 35,243.10

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Solution

The fourth proportional to 110,135.70, 165,215.70 and 35,243.10 is: 52,868.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,135.70 : 165,215.70 = 35,243.10 : x
  2. Step 2: Convert to fraction form
    110,135.70/165,215.70 = 35,243.10/x
  3. Step 3: Cross multiply
    110,135.70x = 165,215.70 × 35,243.10
  4. Step 4: Simplify right side
    110,135.70x = 5,822,713,436.67
  5. Step 5: Solve for x
    x = 5,822,713,436.67/110,135.70
  6. Step 6: Final answer
    x = 52,868.54

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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.