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Finding the Fourth Proportional to 193,082.80, 289,818.60 and 93,323.20

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Solution

The fourth proportional to 193,082.80, 289,818.60 and 93,323.20 is: 140,078.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,082.80 : 289,818.60 = 93,323.20 : x
  2. Step 2: Convert to fraction form
    193,082.80/289,818.60 = 93,323.20/x
  3. Step 3: Cross multiply
    193,082.80x = 289,818.60 × 93,323.20
  4. Step 4: Simplify right side
    193,082.80x = 27,046,799,171.52
  5. Step 5: Solve for x
    x = 27,046,799,171.52/193,082.80
  6. Step 6: Final answer
    x = 140,078.76

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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.