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Finding the Fourth Proportional to 192,407.40, 288,956.70 and 186,186.60

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Solution

The fourth proportional to 192,407.40, 288,956.70 and 186,186.60 is: 279,614.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,407.40 : 288,956.70 = 186,186.60 : x
  2. Step 2: Convert to fraction form
    192,407.40/288,956.70 = 186,186.60/x
  3. Step 3: Cross multiply
    192,407.40x = 288,956.70 × 186,186.60
  4. Step 4: Simplify right side
    192,407.40x = 53,799,865,520.22
  5. Step 5: Solve for x
    x = 53,799,865,520.22/192,407.40
  6. Step 6: Final answer
    x = 279,614.33

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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.