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Finding the Fourth Proportional to 192,707.61, 289,059.81 and 150,623.06

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Solution

The fourth proportional to 192,707.61, 289,059.81 and 150,623.06 is: 225,933.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,707.61 : 289,059.81 = 150,623.06 : x
  2. Step 2: Convert to fraction form
    192,707.61/289,059.81 = 150,623.06/x
  3. Step 3: Cross multiply
    192,707.61x = 289,059.81 × 150,623.06
  4. Step 4: Simplify right side
    192,707.61x = 43,539,072,721.04
  5. Step 5: Solve for x
    x = 43,539,072,721.04/192,707.61
  6. Step 6: Final answer
    x = 225,933.34

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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.