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Finding the Fourth Proportional to 192,238.65, 288,194.40 and 117,411.29

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Solution

The fourth proportional to 192,238.65, 288,194.40 and 117,411.29 is: 176,017.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,238.65 : 288,194.40 = 117,411.29 : x
  2. Step 2: Convert to fraction form
    192,238.65/288,194.40 = 117,411.29/x
  3. Step 3: Cross multiply
    192,238.65x = 288,194.40 × 117,411.29
  4. Step 4: Simplify right side
    192,238.65x = 33,837,274,833.80
  5. Step 5: Solve for x
    x = 33,837,274,833.80/192,238.65
  6. Step 6: Final answer
    x = 176,017.02

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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.