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Finding the Fourth Proportional to 192,665.84, 289,023.38 and 74,371.01

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Solution

The fourth proportional to 192,665.84, 289,023.38 and 74,371.01 is: 111,566.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,665.84 : 289,023.38 = 74,371.01 : x
  2. Step 2: Convert to fraction form
    192,665.84/289,023.38 = 74,371.01/x
  3. Step 3: Cross multiply
    192,665.84x = 289,023.38 × 74,371.01
  4. Step 4: Simplify right side
    192,665.84x = 21,494,960,312.36
  5. Step 5: Solve for x
    x = 21,494,960,312.36/192,665.84
  6. Step 6: Final answer
    x = 111,566.02

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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.