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Finding the Fourth Proportional to 195,959.52, 270,423.84 and 119,478.60

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Solution

The fourth proportional to 195,959.52, 270,423.84 and 119,478.60 is: 164,880.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    195,959.52 : 270,423.84 = 119,478.60 : x
  2. Step 2: Convert to fraction form
    195,959.52/270,423.84 = 119,478.60/x
  3. Step 3: Cross multiply
    195,959.52x = 270,423.84 × 119,478.60
  4. Step 4: Simplify right side
    195,959.52x = 32,309,861,809.82
  5. Step 5: Solve for x
    x = 32,309,861,809.82/195,959.52
  6. Step 6: Final answer
    x = 164,880.29

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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.