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Finding the Fourth Proportional to 109,959.20, 164,906.40 and 43,377.20

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Solution

The fourth proportional to 109,959.20, 164,906.40 and 43,377.20 is: 65,053.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,959.20 : 164,906.40 = 43,377.20 : x
  2. Step 2: Convert to fraction form
    109,959.20/164,906.40 = 43,377.20/x
  3. Step 3: Cross multiply
    109,959.20x = 164,906.40 × 43,377.20
  4. Step 4: Simplify right side
    109,959.20x = 7,153,177,894.08
  5. Step 5: Solve for x
    x = 7,153,177,894.08/109,959.20
  6. Step 6: Final answer
    x = 65,053.02

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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.