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Finding the Fourth Proportional to 195,818, 270,229.56 and 106,394

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Solution

The fourth proportional to 195,818, 270,229.56 and 106,394 is: 146,824.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    195,818 : 270,229.56 = 106,394 : x
  2. Step 2: Convert to fraction form
    195,818/270,229.56 = 106,394/x
  3. Step 3: Cross multiply
    195,818x = 270,229.56 × 106,394
  4. Step 4: Simplify right side
    195,818x = 28,750,803,806.64
  5. Step 5: Solve for x
    x = 28,750,803,806.64/195,818
  6. Step 6: Final answer
    x = 146,824.11

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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.