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Finding the Fourth Proportional to 123,770.36, 185,517.30 and 113,806.28

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Solution

The fourth proportional to 123,770.36, 185,517.30 and 113,806.28 is: 170,582.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,770.36 : 185,517.30 = 113,806.28 : x
  2. Step 2: Convert to fraction form
    123,770.36/185,517.30 = 113,806.28/x
  3. Step 3: Cross multiply
    123,770.36x = 185,517.30 × 113,806.28
  4. Step 4: Simplify right side
    123,770.36x = 21,113,033,788.64
  5. Step 5: Solve for x
    x = 21,113,033,788.64/123,770.36
  6. Step 6: Final answer
    x = 170,582.31

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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.