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Finding the Fourth Proportional to 183,264.92, 274,980 and 116,687.78

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Solution

The fourth proportional to 183,264.92, 274,980 and 116,687.78 is: 175,084.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    183,264.92 : 274,980 = 116,687.78 : x
  2. Step 2: Convert to fraction form
    183,264.92/274,980 = 116,687.78/x
  3. Step 3: Cross multiply
    183,264.92x = 274,980 × 116,687.78
  4. Step 4: Simplify right side
    183,264.92x = 32,086,805,744.40
  5. Step 5: Solve for x
    x = 32,086,805,744.40/183,264.92
  6. Step 6: Final answer
    x = 175,084.28

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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.