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Finding the Fourth Proportional to 186,381.92, 279,504.84 and 68,018.24

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Solution

The fourth proportional to 186,381.92, 279,504.84 and 68,018.24 is: 102,002.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,381.92 : 279,504.84 = 68,018.24 : x
  2. Step 2: Convert to fraction form
    186,381.92/279,504.84 = 68,018.24/x
  3. Step 3: Cross multiply
    186,381.92x = 279,504.84 × 68,018.24
  4. Step 4: Simplify right side
    186,381.92x = 19,011,427,288.28
  5. Step 5: Solve for x
    x = 19,011,427,288.28/186,381.92
  6. Step 6: Final answer
    x = 102,002.53

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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.