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Finding the Fourth Proportional to 192,957.36, 289,701.13 and 98,251.15

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Solution

The fourth proportional to 192,957.36, 289,701.13 and 98,251.15 is: 147,511.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,957.36 : 289,701.13 = 98,251.15 : x
  2. Step 2: Convert to fraction form
    192,957.36/289,701.13 = 98,251.15/x
  3. Step 3: Cross multiply
    192,957.36x = 289,701.13 × 98,251.15
  4. Step 4: Simplify right side
    192,957.36x = 28,463,470,027.45
  5. Step 5: Solve for x
    x = 28,463,470,027.45/192,957.36
  6. Step 6: Final answer
    x = 147,511.71

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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.