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Finding the Fourth Proportional to 192,204.32, 288,492.51 and 92,433.38

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Solution

The fourth proportional to 192,204.32, 288,492.51 and 92,433.38 is: 138,739.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,204.32 : 288,492.51 = 92,433.38 : x
  2. Step 2: Convert to fraction form
    192,204.32/288,492.51 = 92,433.38/x
  3. Step 3: Cross multiply
    192,204.32x = 288,492.51 × 92,433.38
  4. Step 4: Simplify right side
    192,204.32x = 26,666,337,803.98
  5. Step 5: Solve for x
    x = 26,666,337,803.98/192,204.32
  6. Step 6: Final answer
    x = 138,739.53

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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.