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Finding the Fourth Proportional to 160,949.38, 222,120.76 and 92,969.22

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Solution

The fourth proportional to 160,949.38, 222,120.76 and 92,969.22 is: 128,303.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,949.38 : 222,120.76 = 92,969.22 : x
  2. Step 2: Convert to fraction form
    160,949.38/222,120.76 = 92,969.22/x
  3. Step 3: Cross multiply
    160,949.38x = 222,120.76 × 92,969.22
  4. Step 4: Simplify right side
    160,949.38x = 20,650,393,066.95
  5. Step 5: Solve for x
    x = 20,650,393,066.95/160,949.38
  6. Step 6: Final answer
    x = 128,303.65

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.