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Finding the Fourth Proportional to 169,492.50, 233,906.94 and 94,041

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Solution

The fourth proportional to 169,492.50, 233,906.94 and 94,041 is: 129,780.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,492.50 : 233,906.94 = 94,041 : x
  2. Step 2: Convert to fraction form
    169,492.50/233,906.94 = 94,041/x
  3. Step 3: Cross multiply
    169,492.50x = 233,906.94 × 94,041
  4. Step 4: Simplify right side
    169,492.50x = 21,996,842,544.54
  5. Step 5: Solve for x
    x = 21,996,842,544.54/169,492.50
  6. Step 6: Final answer
    x = 129,780.62

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.