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Finding the Fourth Proportional to 175,843.20, 263,959.20 and 109,358.40

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Solution

The fourth proportional to 175,843.20, 263,959.20 and 109,358.40 is: 164,158.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,843.20 : 263,959.20 = 109,358.40 : x
  2. Step 2: Convert to fraction form
    175,843.20/263,959.20 = 109,358.40/x
  3. Step 3: Cross multiply
    175,843.20x = 263,959.20 × 109,358.40
  4. Step 4: Simplify right side
    175,843.20x = 28,866,155,777.28
  5. Step 5: Solve for x
    x = 28,866,155,777.28/175,843.20
  6. Step 6: Final answer
    x = 164,158.50

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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.