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Finding the Fourth Proportional to 192,952.76, 289,694.24 and 98,246.57

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Solution

The fourth proportional to 192,952.76, 289,694.24 and 98,246.57 is: 147,504.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,952.76 : 289,694.24 = 98,246.57 : x
  2. Step 2: Convert to fraction form
    192,952.76/289,694.24 = 98,246.57/x
  3. Step 3: Cross multiply
    192,952.76x = 289,694.24 × 98,246.57
  4. Step 4: Simplify right side
    192,952.76x = 28,461,464,225.90
  5. Step 5: Solve for x
    x = 28,461,464,225.90/192,952.76
  6. Step 6: Final answer
    x = 147,504.83

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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.